If f(x) = (5x^3 − 4)^4
derivative of the outer * derivative of the inner
f'(x) = 4 (5x^3 -4) ^3 *3 (5x^2)
= 4 (5x^3 -4) ^3 * (15x^2)
=4*3*5 x^2 (5x^3 -4) ^3
=60 x^2 *(5x^3 -4) ^3
Choice C
f(x) = (5x^3 − 4)^4
f'(x) = 4(5x^3 - 4)d(5x^3 -4)/dx
= 4(5x^3 - 4)(5*3x^2)
= 4(5x^3 - 4)(15x^2)
so ans is c.
