Question

Obtain derivatives of the following
functions:
(i) x sin x
(ii) x^4+cos x
(iii) x/sin x

plzz help me guys​

Answer 1

Answer:

1= x d/dx *sin x d/dx

1cos x

2 =

4x cube +(-sin x)

4x cube - sin x

3 =

(X d/dx)) /sin x d/dx

1/cosx

Answer 2

Explanation:

$(1) \: y = xsinx \: \\ \frac{dy}{dx} \: = x \frac{d}{dx} sinx \: + sinx \frac{d}{dx} x \: \\ \frac{dy}{dx} = xcosx + sinx \\ \\ (2)y = {x}^{4} + cosx \\ \frac{dy}{dx} = 4 {x}^{3} - sinx \\ \\ (3)y = \frac{x}{sinx } \\ \frac{dy}{dx} = \frac{sinx \frac{d}{dx}x - x \frac{d}{dx} sinx }{ {sin}^{2} x} \\ \frac{dy}{dx} = \frac{sinx - xcosx}{ {sin}^{2} x}$

Hope it will help you....