Question

Derivative: If f(x)=√24x, find f′(x).

Answer 1

what is under the radical, 24, or 24x ?

Answer 2

24x is under the radical sign.

Answer 3

then think of it as
\[\sqrt{24}\sqrt{x}\] leave the constant there, and the derivative of \(\sqrt{x}\) is \(\frac{1}{2\sqrt{x}}\)

Answer 4

Can I use the product rule since they are multiplying?

Answer 5

you do not use the product rule for constants

\[\frac{d}{dx}[cf(x)]=cf'(x)\]

Answer 6

Thank you for your help.