# Find the linearization

Find the linearization of f(x)= x^1/3 at a=-64

so i am trying to use f(x)=f(a)+f'(a)(x-a)

f(a)=-4
f'(x)=1/3(x^-2/3)
f'(a)=-1/48

so i get -4+1/48(x+64)

is that right?

Dick