Question

Question 22 Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): x^4 (5 sin x – 3 cos x)

Class X1 - Maths -Limits and Derivatives Page 318

Answer 1

refer to the above

Hope you get your answer.

Answer 2

let y = x^4 (5 sin x – 3 cos x)

Using product rule
Differentiating w.r.t x

dy/dx = (5sinx-3cosx) d/dx(x⁴) + x⁴d/dx(5sinx-3cosx)
=> dy/dx = 4x³(5sinx-3cosx) + (5cosx+3sinx)x⁴