Consider $\displaystyle f(x)=x^{1/2}$. Find all value(s), c, in the interval [0,1] such that the slope of the tangent line to the graph of f at c is parallel to the secant line through the point (0, f(0)) and (1, f(1)).

$\displaystyle \frac{1}{2x^{1/2}}$

and slope of (0. f(0)) and (1,f(1)) is 1

This is all i can do, need help on this

thx in advance