Does the function #f(x) = 2x^2 − 5x + 1# satisfy the hypotheses of the Mean Value Theorem on the given interval [0,2]?
1 Answer
Jan 5, 2016
The Mean Value Theorem will be applicable since
The Mean Value Theorem states that there is some value
#f'(c)=(f(2)-f(0))/(2-0)=(-1-1)/2=-1#
Since
#f'(x)=4x-5# ,
find the value of
#4c-1=-1#
#c=0#
This means that the tangent line at