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# Calculators :: Calculus :: 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

This is a calculator which computes derivative of a function with respect to a variable x. Important: The form will NOT let you enter illegal characters (like y, z, ;, ...)

## Maximum and Minimum Calculator

In this section you can find local extrema of the given function. If maximum and minimum can be found, the calculator will generate a step-by-step explanation.

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 Find local minimum Find local maximum

## 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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