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x2 x□ log□ √☐ □√☐ ≤ ≥ □□  · ÷ x◦ π (☐)′ ddx  ∂∂x  ∫ ∫□□ lim ∑ ∞ θ (f ◦ g) f(x)


▭ |▭ ×▭▭ +▭▭ −▭▭ ( ) × ☐☐☐ 

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 * Pre Algebra
   Order of Operations Factors & Primes Fractions Long Arithmetic Decimals
   Exponents & Radicals Ratios & Proportions Percent Modulo Mean, Median & Mode
   Scientific Notation Arithmetics
 * Algebra
   Equations Inequalities System of Equations System of Inequalities Basic
   Operations Algebraic Properties Partial Fractions Polynomials Rational
   Expressions Sequences Power Sums Interval Notation Pi (Product) Notation
   Induction Logical Sets Word Problems
 * Pre Calculus
   Equations Inequalities Simultaneous Equations System of Inequalities
   Polynomials Rationales Complex Numbers Polar/Cartesian Functions Arithmetic &
   Comp. Coordinate Geometry Plane Geometry Solid Geometry Conic Sections
   Trigonometry
 * Calculus
   Derivatives Derivative Applications Limits Integrals Integral Applications
   Integral Approximation Series ODE Multivariable Calculus Laplace Transform
   Taylor/Maclaurin Series Fourier Series Fourier Transform
 * Functions
   Line Equations Functions Arithmetic & Comp. Conic Sections Transformation
 * Linear Algebra
   Matrices Vectors
 * Trigonometry
   Identities Proving Identities Trig Equations Trig Inequalities Evaluate
   Functions Simplify
 * Statistics
   Mean Geometric Mean Quadratic Mean Average Median Mode Order Minimum Maximum
   Probability Mid-Range Range Standard Deviation Variance Lower Quartile Upper
   Quartile Interquartile Range Midhinge Standard Normal Distribution
 * Physics
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 * Chemistry
   Chemical Reactions Chemical Properties
 * Finance
   Simple Interest Compound Interest Present Value Future Value
 * Economics
   Point of Diminishing Return
 * Conversions
   Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed
   Number To Improper Fraction Radians to Degrees Degrees to Radians Hexadecimal
   Scientific Notation Distance Weight Time


SOLUTIONS

>


CALCULUS CALCULATOR

>


DERIVATIVE CALCULATOR

Topic
 * Pre Algebra
 * Algebra
 * Pre Calculus
 * Calculus
 * Derivatives
   * 
     First Derivative
   * 
     WRT
   * Specify Method
     * Chain Rule
     * Product Rule
     * Quotient Rule
     * Sum/Diff Rule
   * 
     Second Derivative
   * 
     Third Derivative
   * 
     Higher Order Derivatives
   * 
     Derivative at a point
   * 
     Partial Derivative
   * 
     Implicit Derivative
   * 
     Second Implicit Derivative
   * 
     Derivative using Definition

   --------------------------------------------------------------------------------

 * Derivative Applications
   * Tangent
   * Slope of Tangent
   * Normal
   * Curved Line Slope
   * Extreme Points
   * Tangent to Conic
   * Linear Approximation
   * Difference Quotient
   * Horizontal Tangent

   --------------------------------------------------------------------------------

 * Limits
   * 
     One Variable
   * 
     Multi Variable Limit
   * 
     One Sided
   * 
     At Infinity
   * Specify Method
     * L'Hopital's Rule
     * Squeeze Theorem
     * Chain Rule
     * Factoring
     * Substitution
     * Sandwich Theorem

   --------------------------------------------------------------------------------

 * Integrals
   * 
     Indefinite Integrals
   * 
     Definite Integrals
   * Specific-Method
     * Partial Fractions
     * U-Substitution
     * Trigonometric Substitution
     * Weierstrass Substitution
     * By Parts
     * Long Division
   * 
     Improper Integrals
   * 
     Antiderivatives
   * 
     Double Integrals
   * 
     Triple Integrals
   * 
     Multiple Integrals

   --------------------------------------------------------------------------------

 * Integral Applications
   * Limit of Sum
   * Area under curve
   * Area between curves
   * Area under polar curve
   * Volume of solid of revolution
   * Arc Length
   * Function Average

   --------------------------------------------------------------------------------

 * Integral Approximation
   * Riemann Sum
   * Trapezoidal
   * Simpson's Rule
   * Midpoint Rule

   --------------------------------------------------------------------------------

 * Series
   * Convergence
     * Geometric Series Test
     * Telescoping Series Test
     * Alternating Series Test
     * P Series Test
     * Divergence Test
     * Ratio Test
     * Root Test
     * Comparison Test
     * Limit Comparison Test
     * Integral Test
   * 
     Absolute Convergence
   * Power Series
     * Radius of Convergence
     * Interval of Convergence

   --------------------------------------------------------------------------------

 * ODE
   * Linear First Order
   * Linear w/constant coefficients
   * Separable
   * Bernoulli
   * Exact
   * Second Order
   * Homogenous
   * Non Homogenous
   * Substitution
   * System of ODEs
   * IVP using Laplace
   * Series Solutions
   * Method of Frobenius
   * Gamma Function

   --------------------------------------------------------------------------------

 * Multivariable Calculus
   * Partial Derivative
   * Implicit Derivative
   * Tangent to Conic
   * Multi Variable Limit
   * Multiple Integrals
   * Gradient
   * Divergence
   * Extreme Points

   --------------------------------------------------------------------------------

 * Laplace Transform
   * Transform
   * Inverse

   --------------------------------------------------------------------------------

 * Taylor/Maclaurin Series
   * Taylor Series
   * Maclaurin Series

   --------------------------------------------------------------------------------

 * 
   Fourier Series

   --------------------------------------------------------------------------------

 * 
   Fourier Transform

   --------------------------------------------------------------------------------

 * Functions
 * Linear Algebra
 * Trigonometry
 * Statistics
 * Physics
 * Chemistry
 * Finance
 * Economics
 * Conversions

Full pad

x2 x□ log□ √☐ □√☐ ≤ ≥ □□  · ÷ x◦ π (☐)′ ddx  ∂∂x  ∫ ∫□□ lim ∑ ∞ θ (f ◦ g) f(x)


▭ |▭ ×▭▭ +▭▭ −▭▭ ( ) × ☐☐☐ 



Basic αβγ ABΓ sincos ≥÷→ x ℂ∀ ∑ ∫ ∏ (

☐☐☐☐

) H2O


☐2 x☐ √☐ □√☐ □□  log□ π θ ∞ ∫ ddx 

≥ ≤ · ÷ x◦ (☐) |☐| (f ◦ g) f(x) ln e☐ (☐)′ ∂∂x  ∫□□ lim ∑ sin cos tan cot csc
sec

α β γ δ ζ η θ ι κ λ μ ν ξ π ρ σ τ υ ϕ χ ψ ω

A B Γ Δ E Z H Θ K Λ M N Ξ Π P Σ T ϒ Φ X Ψ Ω

sin cos tan cot sec csc sinh cosh tanh coth sech arcsin arccos arctan arccot
arcsec arccsc arcsinh arccosh arctanh arccoth arcsech

{

☐☐

  {

☐☐☐

  = ≠ ÷ · × < > ≤ ≥ (☐) [☐] ▭ |▭ ×▭▭ +▭▭ −▭▭ ☐! x◦ → ⌊☐⌋ ⌈☐⌉

☐ ⃗ ☐ ∈ ∀ ∉ ∃ ℝ ℂ ℕ ℤ ∅ ∨ ∧ ¬ ⊕ ∩ ∪ ☐c ⊂ ⊆ ⊃ ⊇

∫ ∫∫ ∫∫∫ ∫☐☐ ∫☐☐∫☐☐ ∫☐☐∫☐☐∫☐☐ ∑ ∏ lim limx→∞ limx→0+ limx→0− ddx  d2dx2  (☐)′
(☐)′′ ∂∂x 

(2×2) (2×3) (3×3) (3×2) (4×2) (4×3) (4×4) (3×4) (2×4) (5×5)

(1×2) (1×3) (1×4) (1×5) (1×6) (2×1) (3×1) (4×1) (5×1) (6×1) (7×1)



Radians Degrees ☐! ( ) % clear arcsin sin √☐ 7 8 9 ÷ arccos cos ln 4 5 6 ×
arctan tan log 1 2 3 − π e x☐ 0 . = +




MOST USED ACTIONS

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ddx ()
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Related

Examples
 * ddx (3x+92−x )
 * d2dx2 (3x+92−x )
 * (sin2(θ))′′
 * derivative of f(x)=3−4x2, x=5
 * implicit derivative dydx , (x−y)2=x+y−1
 * ∂∂y∂x (sin(x2y2))
 * ∂∂x (sin(x2y2))
 * Show More

Description
Differentiate functions step-by-step
Frequently Asked Questions (FAQ)
 * How do you calculate derivatives?
 * To calculate derivatives start by identifying the different components (i.e.
   multipliers and divisors), derive each component separately, carefully set
   the rule formula, and simplify. If you are dealing with compound functions,
   use the chain rule.
 * Is there a calculator for derivatives?
 * Symbolab is the best derivative calculator, solving first derivatives, second
   derivatives, higher order derivatives, derivative at a point, partial
   derivatives, implicit derivatives, derivatives using definition, and more.
 * Is velocity the first or second derivative?
 * Velocity is the first derivative of the position function. Acceleration is
   the second derivative of the position function.
 * What is the derivative of a Function?
 * The derivative of a function represents its a rate of change (or the slope at
   a point on the graph).
 * What is the derivative of zero?
 * The derivative of a constant is equal to zero, hence the derivative of zero
   is zero.
 * What does the third derivative tell you?
 * The third derivative is the rate at which the second derivative is changing.
 * Show more

Why users love our Derivative Calculator

🌐 Languages EN, ES, PT & more 🏆 Practice Improve your math skills 😍 Step by
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Related Symbolab blog posts
High School Math Solutions – Derivative Calculator, the Chain Rule
In the previous posts we covered the basic derivative rules, trigonometric
functions, logarithms and exponents...
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