Question

what is the derivative of f(x)=x(2x-1)^(1/2)

Answer 1

product derivation

f(x)=g(x).h(x)

f'(x)=g'(x).h(x) + g(x)h'(x)

Answer 2

where g(x)=x

and h(x)=(2x-1)^1/2

Answer 3

product rule for this one
\[(fg)'=f'g+g'f\] with
\[f(x)=x,f'(x)=1,g(x)=\sqrt{2x-1},g'(x)=\frac{1}{\sqrt{2x-1}}\]

Answer 4

anyway, wolfram alpha would help you with that kind of question

Answer 5

aha i tried wolfram already but it was confusing. thanks guys