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}= .

anonymous · Answer

$$\lim_{h \rightarrow 0} \frac{\sqrt[1]{(x + h)^{3}} - \sqrt[1]{x^{3}}}{h}$$

anonymous · Answer

1st root?

dumbcow · Answer

square root always has index of 2...index of 1 means radical not needed
i assumed it was a typo

anonymous · Answer

thx dc.

dumbcow · Answer

find derivative of x^(3/2)

anonymous · Answer

this is the limit defition for the derivivative of x^(3/2)

anonymous · Answer

none of these work :(

dumbcow · Answer

@rukh is the question written with a 1 as index of the radical?