For f(x)=sqrt [3]((64)/(x)) find f'(x) f'(x)=

Question

Answer 1

To find the derivative of the function

, we can use the chain rule and the power rule.First, let's rewrite the function in a more convenient form:

Now, we can differentiate this function using the chain rule:

Using the chain rule, we have:

Now, let's differentiate

with respect to

:

Substituting this back into our expression for

, we get:

Simplifying this expression, we have:

Finally, we can simplify this expression further:

Therefore, the derivative of the function

is:

Soru