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.

## Answer this Question

## Related Questions

- calculus - At the indicated point for the function, find the following. A ...
- calculus - Consider the following. y = x2 − 9x x2 + 5x at (3, − 3 4...
- Math - Find the quadratic function that has the indicated vertex and whose graph...
- Math - Find the quadratic function that has the indicated vertex and whose graph...
- Calculus - Find the derivative of the given function at the indicated point. (...
- Math - Write the standard form of the quadratic function that has the indicated ...
- trig - Find the indicated trigonometric function, given that è is an angle in ...
- calculus - Use the function defined below to find an equation of the tangent ...
- mean value theorem - Show that the function f(x)=1-|x|, [-1,1] does not satisfy ...
- calculus - A point moving on a coordinate line has position function s. Find ...

More Related Questions