What's the derivative of the function at the given point? f(x)=1/x^(1/2) ,at (1/4,2)

1 Answer
Oct 21, 2017

The derivative of the function at x= 1/4 will be (1/4, -4).

Explanation:

We can immediately write the function as

f(x) = x^(-1/2)

Then we can find the derivative using the power rule.

f'(x) = -1/2x^(-3/2) = -1/(2x^(3/2))

Now we have

f'(1/4) = -1/(2(1/4)^(3/2)) = -1/(2(1/8)) = -1/(1/4) = -4

Hopefully this helps!