Find the derivatives of the following functions with respect to corresponding independent variables: g(t) = t3 cos t

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

g(t) = t³ cos t

Sum

g(t) = t³ cos t

(i.e.) u = t³ and v = cos t

Let u’ = `("d"u)/("d"x)` and v’ = `("d"v)/("d"x)` = (– sin t)

g'(t) = uv’ + vu’

g'(t) = t³ (– sin t) + cos t (3t²)

= – t³ sin t + 3t² cos t

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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 5 | Page 160

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