Differentiate each of the following w.r.t. x:cos x3

Q4 of 285 Page 370

Differentiate each of the following w.r.t. x:
cos x³

Formulae :

•

Let,

y = cos x³

and u = x³

therefore, y= cos u

Differentiating above equation w.r.t. x,

………… By chain rule

………….

= - sin x³ . 3x²

= - 3x² sin x³

Differentiate each of the following w.r.t. x:

cos 5x

Differentiate each of the following w.r.t. x:

tan 3x

Differentiate each of the following w.r.t. x:

cot²x

Differentiate each of the following w.r.t. x:

tan³x