Differentiate the following functions with respect to $x$
(a) $cosh 5 x sinh 3 x$
(b) $\sqrt{(coth 4 x)}$

Open in App

Solution

$(a) \frac{d}{d x} c o s h 5 x s i n h 3 x = c o s h 5 x \times 3 c o s h 3 x + s i n h 3 x \times 5 s i n h 5 x$
$= 3 c o s h 5 x . c o s h 3 x + 5 s i n h 3 x . s i n h 5 x$

$Formula = \frac{d}{d x} c o t h x = - c o s e c h^{2} x$

$(b) \frac{d}{d x} \sqrt{(c o t 4 h x)} = \frac{1}{2 \sqrt{c o t h 4 x}} \times - c o s e c h^{2} 4 x \times 4$

$= \frac{- 2 c o s e c h^{2} 4 x}{\sqrt{c o t h x}}$

Suggest Corrections

Similar questions

Differentiate the following functions with respect to x :

$\frac{4 x + 5 s i n x}{3 x + 7 c o s x}$

Differentiate the following functions with respect to x :

$\frac{\sqrt{a} + \sqrt{x}}{\sqrt{a} - \sqrt{x}}$

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 :

$\frac{a c o s x + b s i n x + c}{s i n x}$

Join BYJU'S Learning Program