Question

d/dx(-cosec 7x)+d/dx(cot 7x)

Answer 1

Step-by-step explanation:

$\tt \red{ \implies \frac{d}{dx}( - cosec (7x) ) + \frac{d}{dx}( \cot(7x) ) }$

$\tt \pink{ \implies \: cosec(7x) \cot(7x) \dfrac{d}{dx} (7x) + {cosec}^{2} (7x) \dfrac{d}{dx}(7x) }$

$\red{\boxed{ \boxed{\tt \blue{ \implies7cosec(7x)cot(7x)−7cosec {}^{2} (7x)}}}}$

Answer 2

$\frac{d( - cosec7x)}{dx} + \frac{d(cot7x)}{dx}$

$\frac{d( - cosec7x)}{dx}$

$7cosec7xcot7x$

$\frac{d(cot7x)}{dx}$

$- 7 {cosec}^{2} (7x)$

so,

$7(cosec7xcot7x - {cosec7x}^{2})$