Question

Use your knowledge of the derivative to compute the value of the limit given below:
\lim_{h \rightarrow 0} \frac{\sqrt[1]{(x + h)^{3}} - \sqrt[1]{x^{3}}}{h} .


The derivative is
\frac{dy}{dx}= .

Answer 1

\[
\lim_{h \rightarrow 0} \frac{\sqrt[1]{(x + h)^{3}} - \sqrt[1]{x^{3}}}{h} \]
This is the derivative of \[\sqrt {x^3}\]
Can you find now??

Answer 2

you can also write it as derivative of
\[\large x^{3/2}\]

Answer 3

im trying...not getting the correct answer

Answer 4

\[\frac{d}{dx} x^{n} = n*x^{n-1}\]

Answer 5

\[\frac{d}{dx} x^{3/2}=\frac{3}{2} x^{\frac{3}{2}-1}=\frac{3}{2} x^{\frac{1}{2}}
\]

Answer 6

3/2x^(1/2) not correct :(

Answer 7

Are you checking on a website?

Answer 8

my homwork is online

Answer 9

Try
\[\frac{3}{2} \sqrt x\]

Answer 10

3/2x√x is the same as 3/2*x^(1/2) and my online hw says its wrong

Answer 11

hey ash