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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+b addition
a-b a-b subtraction
a*b \( a \times b \) multiplication
a/b \( a \div b \) division
-a -a negation
abs(a) |a| absolute value
a**b \( a^{b} \) exponent
sqrt(a)\( \sqrt {a} \) square root