Q28 of 116 Page 892

Differentiate w.r.t x: e^(xsinx+cosx)

Let y = e^(xsinx+cosx) , z = x sin x+ cos x, m = x and w = sin x

Formula :

According to the product rule of differentiation

= x cosx

According to the chain rule of differentiation

Differentiate w.r.t x: e^-5x cot 4x

Differentiate w.r.t x: cos (x³ . e^x)

Differentiate w.r.t x:

Differentiate w.r.t x: e(xsinx+cosx)