# Related formulas

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## Derivatives of trigonometric functions

The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if ${f(x) = tan(x)}$, then ${f'(x) = sec^2(x)\cdot D_x(x)}$

$\frac{d}{dx}\left(\tan\left(x\right)\right)=\sec\left(x\right)^2\frac{d}{dx}\left(x\right)$

## Basic Derivatives

· Sum Rule

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(a+b\right)=\frac{d}{dx}\left(a\right)+\frac{d}{dx}\left(b\right)$
· Derivative of a Constant

The derivative of the constant function ($[c]$) is equal to zero

$\frac{d}{dx}\left(c\right)=0$
· Derivative of the linear function

The derivative of the linear function is equal to $1$

$\frac{d}{dx}\left(x\right)=1$
$\frac{d}{dx}\left(\tan\left(x+1\right)\right)$

### Main topic:

Differential calculus

### Time to solve it:

~ 0.03 s (SnapXam)