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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.
error
$$ \begin{aligned} f(x) & = %7bx%7d%5e%7b2%7d+16%5 \\[2 em] f\prime(x) &= \color{red}{\text{ incorrect syntax }} \end{aligned} $$
working...
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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