Home > Math > Derivative

# Derivative

#### Calculated Results:

$f(x) = \frac{e^{x} + 2 \sin{\left(x \right)} + 1}{\cos{\left(x \right)} + 1}$ $\frac{df(x)}{dx} = \frac{e^{x} + 2 \cos{\left(x \right)}}{\cos{\left(x \right)} + 1} + \frac{\left(e^{x} + 2 \sin{\left(x \right)} + 1\right) \sin{\left(x \right)}}{\left(\cos{\left(x \right)} + 1\right)^{2}}$
##### Usage
Use Derivative calculator to calculate the derivative of a function. The supported symbols are x, y and z.
For example:
3x**2 + 5x**2 +sin**2(x) for $f(x) = 3x^2+5x^2 +sin^2(x) \ \ \frac{d(f(x))}{dx} = 16x + 2sin(x)cos(x)$
3x**2+24xy+48y**2,2 for $f(x) = 3x^2+2xy+48y^2 \ \ \frac{d^2f(x)}{d^2x} = 6$
##### Python operations for math expressions
The input for a symbol expression using python syntax. Here is a list of common math operators in python.
Syntax Math Operation Name
a*b $a \times b$ multiplication
a/b $a \div b$ division
a**b $a^{b}$ exponent
sqrt(a)$\sqrt {a}$ square root