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}= .

zarkon · Answer

\sqrt[1]{(x + h)^{3}} ...
$$\sqrt[1]{(x + h)^{3}} $$

what do you mean by this?

anonymous · Answer

attachment

anonymous · Answer

see attached

zarkon · Answer

that is either a typo or just weird use of notation...

zarkon · Answer

$$\sqrt[n]{x}=x^{1/n}$$

so $$\sqrt[1]{x}=x^{1/1}=x$$

zarkon · Answer

so you could try $$3x^2$$

zarkon · Answer

I'm betting the problem is a typo

anonymous · Answer

thank 3x^2 is correct, ur a genius - i have been trying to figure this out all night

zarkon · Answer

very poor use of notation