Question

x^2 tanx derivaties of functions​

Answer 1

To differentiate:

$\star \: {x}^{2} tan \: x$

Here we use the product formula of differentiation:

$\star \boxed{ \red{\bold{ \frac{d}{dx} uv = u \: \frac{dv}{dx} + v \: \frac{du}{dx} }}}$

$\implies \: \frac{d}{dx} ( {x}^{2} \tan \: x) \\ \\ \implies \: {x}^{2} \frac{d}{dx} ( \tan \: x) + \tan \: x \: \frac{d}{dx} ( {x}^{2} ) \\ \\ \implies \: {x}^{2} \: { \sec}^{2} x + \tan \: x(2x) \\ \\ \implies \: {x}^{2} \: { \sec}^{2} x + 2x \tan \: x$

Formula :

$\star \bold{ \blue{ \frac{d}{dx} {x}^{n} = n {x}^{n - 1} }}$

$\star \bold{ \blue{ \frac{d}{dx} \tan \: x = { \sec}^{2} x}}$

Answer 2

Explanation:

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