posted by joclyn .
find the numerical deriviative of the given function at the indicated point. use h=0.001. is the function differentiable at the indicated point?
4x- x^2, x=0
Looks like you are starting the concept of a derivative and are finding it by First Principles
f(0) = 0
f(0+.001) = .003999
so the slope of the secant
= (.00399 - 0)/(.001 - 0)
as you make your value of h get closer to zero, the slope of the secant will approach the slope of the tangent (the derivative) and it will get closer and closer to 4.