Question

Differentiate wrt x -
(7-4x)^4

Answer 1

Answer:

d/dx (7-4x)^4

4 (7-4x)^3 × d/dx (7-4x)

4 (7-4x)^3 × (-4)

-16 (7-4x)^3

-16 ( 343 - 588x + 336x^2 - 64x^3 )

-5488 + 9408x - 537x^2 + 1024 x^3.

Answer 2

$\text{By applying chain rule we have:}\\</p><p>\frac{d}{dx}(7-4x)^4=4(7-4x)^3 \times \frac{d}{dx}(7-4x)\\</p><p>=4(7-4x)^3 \cdot (-4)\\</p><p>=\boxed{-16(7-4x)^3}$