Question

Help me step by step?

Answer 1

\[y=(12\sqrt[3]{x}-\frac{ 1 }{ 4x }+e^2)\]

Answer 2

Find dy/dx

Answer 3

well first off convert all your roots to fractions and your fractions to negative exponents...

Answer 4

don't be fooled by \(e^2\) it is a number, and the derivative of a constant is zero

Answer 5

the rest, as @vacationeer said (and i am sure you know) is regular power rule

Answer 6

12*x^(1/3)-...+e^2)

I'm stuck on converting 1/4x

Answer 7

don't get annoyed by the 4 in the denominator
treat this as
\[-\frac{1}{4}\times\frac{1}{x}\] and recall that the derivative of \(\frac{1}{x}\) is \(-\frac{1}{x^2}\)

Answer 8

ahhh... it's so messy.. Okay give me a little to think it over now.

Answer 9

you should memorize this one for the test, also memrorize the derivative of \(\sqrt{x}\) is
\[\frac{1}{2\sqrt{x}}\]

Answer 10

yeah I know that.

Answer 11

so.. is it rewritten...
(12*x^(1/3)-1/4*1/x+1)?