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Derivative calculator

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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
help ↓↓ examples ↓↓
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examples
example 1:ex 1:
$$ \left( \frac{x+1}{x-1} \right)'$$
example 2:ex 2:
$$ \left( x^2 \, \sin(x) \right)\prime\prime$$
example 3:ex 3:
Find the derivative of $ f(x) = \frac{ln x}{x} $ at the point $ x = e^2 $.
Find more worked-out examples in the database of solved problems..

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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