Tuesday

January 27, 2015

January 27, 2015

Posted by **Anonymous** on Saturday, March 3, 2007 at 12:52am.

f(4) = 2

f(4+h) = sqrt(4 + h)

[f(4+h) - f(4)]/h =?

You have to pick a small h,and calculate it. Then pick an even smaller value and calculate it again. That's called taking the limit as h-> 0

If you pick h=0.1, you get a slope of

0.2484

If you pick h=0.01, you get a slope of 0.2498

Try an even lower value of h and you will see the trend to the limit.

The exact value of the slope, using the formula for the derivative at x=4, is (1/2)/(sqrt 4) = 1/4

**Answer this Question**

**Related Questions**

math calculus please help! - l = lim as x approaches 0 of x/(the square root of...

Calculus - Please look at my work below: Solve the initial-value problem. y'' + ...

Math Help please!! - Could someone show me how to solve these problems step by ...

Math/Calculus - Solve the initial-value problem. Am I using the wrong value for ...

Math - How do you find a square root of a number that's not a perfect square? I'...

Calculus - Evaluate the indefinite integral: 8x-x^2. I got this but I the ...

Mathematics - sqrt 6 * sqrt 8 also sqrt 7 * sqrt 5 6.92820323 and 5.916079783 So...

Algebra - I have a question if someone could help, please explain it. Given b...

Math(Roots) - sqrt(24) *I don't really get this stuff.Can somebody please help ...

Calculus (please check my answer) - Find the Avrage value of the function i=15(1...