Question

Differentiate the following w. r. t. x.: x⁵ + 3x⁴

Answer 1

Let y = x⁵ + 3x⁴
Differentiating w.r.t. x, we get

`dy/dx = d/dx (x^5+3x^4)`

= `d/dx x^5 + 3 d/dxx^4`

= 5x⁴ + 3(4x³)

`dy/dx = 5x^4 + 12x^3`