Question

What is the derivative of

x3−−√

Answer 1

The coefficient is 3 because 1×3=3 , and the exponent is reduced by 1. Hence, ddx[x3]=3x2

32√x. Explanation: f(x)=√x3=x32. f'(x)=32x32−1=32x12 (Power rule). =32√x.