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}= .

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}= .

ash2326 · Answer

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

dumbcow · Answer

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

anonymous · Answer

im trying...not getting the correct answer

dumbcow · Answer

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

ash2326 · Answer

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

anonymous · Answer

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

ash2326 · Answer

Are you checking on a website?

anonymous · Answer

my homwork is online

ash2326 · Answer

Try 
$$\frac{3}{2} \sqrt x$$

anonymous · Answer

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

razor99 · Answer

hey ash