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!