Question

Differentiate the following with respect to x

(i) y = (ax)^m + b^m

(ii) y = x³ + 4x² + 7x + 2

Answer 1

(i) y = a^mx^m + b^m

dy/dx = a^mmx^m-1 + 0 = a^mmx^m-1

(ii) dy/dx = 3x² + 4(2x) + 7 = 0

= 3x² + 8x + 7