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

What is the derivative of the this functon?

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 2:54pm
Let 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 4:48pm
Okay. 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 11:20pm
I 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 derivative - find the slope m and an equation of the tangent line to ...
- Applied Calculus - Find the first and second derivative of the function: x/(7x+...
- Calculus derivatives - f(a) = a + √a (a) Find the derivative of the ...
- Calculus grade 12 - a) determine the derivative of y = sin2x b) determine the ...
- calculus - Please help with this. I need the first derivative of f(x)=4(x+...
- Calculus (Derivatives) - Show the steps to get the derivative function of -500/x...
- Math - derivative of sinusoidal (check) - a) Find a function y=f(x) that ...
- calculus - Please help with this. I submitted it below and was asked to clarify ...
- Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...

More Related Questions