Posted by joclyn on Saturday, October 3, 2009 at 8:10pm.
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

math  Reiny, Saturday, October 3, 2009 at 9:27pm
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)
= 3.999
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.
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