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

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

Answer 2

1st root?

Answer 3

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

Answer 4

thx dc.

Answer 5

find derivative of x^(3/2)

Answer 6

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

Answer 7

none of these work :(

Answer 8

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