Question

Differentiate x(4x+12)^1/2 to give it in the form of k(x+2)/(4x+12)^1/2.

Answer 1

this is easy

Answer 2

Help me please.

Answer 3

Do you know how to take derivatives? f'(x)/g'(x) = (f'(x)g(x)-f(g)g'(x))/g'(x)^2

Answer 4

that is wrong.
\[g'(x)=(4x+12)^{-\frac{1}{2}}\times 4\]

Answer 5

WHAT? O.o :S

Answer 6

\[(fg)'=f'g+g'f\]

Answer 7

\[f(x)=x\]
\[f''(x)=1\]
\[g(x)=\sqrt{4x+12}\]
\[g'(x)=\frac{4}{2\sqrt{4x+12}}=\frac{2}{\sqrt{4x+12}}\]\]

Answer 8

put it together in the product rule

Answer 9

site is real slow. any steps you need written out?

Answer 10

It's too complicated to read :S