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
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!