Friday

March 6, 2015

March 6, 2015

Posted by **Mishaka** on Tuesday, November 1, 2011 at 2:37pm.

g(x) = -500/x, x cannot equal 0.

I know that in order to fnd the derivative I need to put the function into the equation for evaluating derivatives as limits.

lim as h -> 0 (f(x+h) - f(x))/h

I did this, but I am having difficulties simplifying it to evaluate the limit. Any help at all is appreciated!

- Calculus (Derivatives) -
**bobpursley**, Tuesday, November 1, 2011 at 2:54pmLet K= -500

lim (K/(x+h) - K/x)/h

lim K (x-x-h)/x(x+h)h

= -K (h/x(x+h)h=lim -K 1/x(x+h)

= -k/x^2

= 500/x^2

- Calculus (Derivatives) -
**Mishaka**, Tuesday, November 1, 2011 at 4:48pmOkay. So, 500/x^2 would be the simplified equation for the derivative, and from here I can figure that the limit is 5,000,000 as h approaches 0. Is this correct?

- Calculus (Derivatives) -
**Rodney**, Tuesday, November 1, 2011 at 11:20pmI too was able to come to the derivative of 500/x^2

**Answer this Question**

**Related Questions**

Calculus - Okay, I know that the derivative functon of the function -500/x is ...

Calculus grade 12 - a) determine the derivative of y = sin2x b) determine the ...

Applied Calculus - Find the first and second derivative of the function: x/(7x+...

Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...

calculus - Please help with this. I need the first derivative of f(x)=4(x+...

Calculus derivatives - f(a) = a + √a (a) Find the derivative of the ...

calculus - Differentiate both sides of the double angle identify sin 2x= 2 sin x...

calculus - Please help with this. I submitted it below and was asked to clarify ...

calculus - Please help with this. I submitted it below but no one responded. I ...

Derivatives- Math - Can someone explain how to find the derivative of : 1. y= 5...