Find the derivative of the function f by using the rules of differentiation.

Question

f(x)= 9/4x^4/9

f’(x)=?

Answer 1

Power rule: when f(x) = a xⁿ, f'(x) = an x^n-1. For f(x) = (9/4) x^4/9, f'(x) = (9/4)(4/9) x^{4/9 - 9/9} = x^-5/9.