Derivative calculator

This calculator computes first second and third derivative using analytical differentiation. You can also evaluate derivative at a given point. It uses product quotient and chain rule to find derivative of any function. The calculator tries to simplify result as much as possible.

Derivative Calculator
finds derivative of any function
show help ↓↓ examples ↓↓
example 1:ex 1:
$$ \left( \frac{x+1}{x-1} \right)'$$
example 2:ex 2:
$$ \left( x^2 \, \sin(x) \right)''$$
example 3:ex 3:
Find the derivative of $ f(x) = \frac{ln x}{x} $ at the point $ x = e^2$.

Examples of valid and invalid expressions

Function to differentiate Correct syntax Incorrect syntax
$$ (2x+1)^6 $$ (2x+1)^6 [2x+1]^6
$$ \frac{10x + 1}{x^2-4} $$ (10x+1)/(x^2-4) 10x+1/x^2-4
$$ \left(ln(x)\right)^2 $$ ln(x)^2 ln^2(x)
$$ x ~ ln\left(\frac{x-1}{x+1}\right) $$ x*ln((x-1)/(x+1)) x*ln(x-1)/(x+1)
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