Find the derivatives of the following functions with respect to corresponding independent variables: f(x) = x sin x - Mathematics

Find the derivatives of the following functions with respect to corresponding independent variables:

f(x) = x sin x

Sum

f(x) = uv

⇒ f'(x) = uv’ + vu’

= `"u" ("d"u)/("d"x) + "v" ("d"v)/("d"x)`

Now u = x

⇒ u’ = 1

v = sin x

⇒ v’ cos x

f'(x) = x (cos x) + sin x(1)

= x cos x + sin x

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Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.2 [Page 160]

Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.2 | Q 3 | Page 160

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