Question

Derive the
Derivative of tan²x

Answer 1

Answer:

$\red { Derivative \: of \: tan^{2}x }$

$\green {= 2tanx sec^{2}x}$

Step-by-step explanation:

$\red { Derivative \: of \: tan^{2}x }$

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

$= 2tanx \times \frac{d(tanx)}{dx}$

$\boxed { \pink { \frac{d}{dx}[f(x)^{\red{n}}]= n\big(f\left(x\right)\big)^{n-1}\cdot f'(x) }}$

$= 2tanx sec^{2}x$

Therefore.,

$\red { Derivative \: of \: tan^{2}x }$

$\green {= 2tanx sec^{2}x}$

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Answer 2

Answer:

Step-by-step explanation: