Question

find the differential of f(x)=x^(1/2) with respect to x and dx

Answer 1

\(\Large f(x)=x^n\)
\(\Large f'(x)=nx^{(n-1)}dx\)
Does that help? @motlatsi

Answer 2

i dont get it man, may you help out

Answer 3

ya. if f(x) is of the form x^n. then its differentiation will be in the form f'(x)=nx^(n-1)dx.
Let me give an example.
suppose f(x)=x^3
so n=3 here.
f'(x)=3x^(3-1)dx
=3x^2dx.
Getting it? @motlatsi