Derivative calculator

This calculator evaluates derivatives using analytical differentiation. It will also find local minimum and maximum, of the given function. The calculator will try to simplify result as much as possible.

There are examples of valid and invalid expressions at the bottom of the page.

Derivative Calculator
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Maximum and Minimum Calculator
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local minimum
local maximum
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examples
example 1:ex 1:
$$ \left( \frac{x+1}{x-1} \right)'$$
example 2:ex 2:
$$ \left( x^2 \, \sin(x) \right)''$$
example 3:ex 3:
Find the derivative of $ f(x) = \frac{ln x}{x} $ at the point $ x = e^2$.
example 4:ex 4:
Find the local minimum of $f(x) = x^3 - 3x + 1$
example 5:ex 5:
Find the local maximum of $f(x) = \frac{x^2 + x + 5}{x-1}$

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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