Differentiate the following functions with respect to $x$ :
(a) $cosec h (5 x + 3)$
(b) $sin h (e^{x})$

Open in App

Solution

$Using the relation \frac{d}{d x} c o s e c h x = - c o s e c h x . c o t h x$

$(a) \frac{d}{d x} c o s e c h (5 x + 3) = - 5 c o s e c h (5 x + 3) c o t h (5 x + 3)$

$(b) \frac{d}{d x} s i n h (e^{x}) = c o s h (e^{x}) . e^{x}$

Suggest Corrections

Similar questions

Differentiate the following functions with respect to x

sin (ax + b).

x

cos h^{3} 2 x

tan h (sin x)

Differentiate the following functions with respect to x :

$3^{x} + x^{3} + 3^{3}$

x

cosh 5 x sinh 3 x

\sqrt{(coth 4 x)}

x^{3} s i n x

Join BYJU'S Learning Program