Question

Differentiate the following function.

u = 4 root3(t) + 9 sqrt(t^9)

Answer 1

Convert each term into fractional exponents and use the power rule:

For example:
d(sqrt(t^11))/dt
=d(t^(11/2))/dt
=(11/2)t^(11/2-1)
=(11/2)t^(9/2)