## mathcalculus Group Title athcalculus HELP: use your knowledge of the derivative to compute the limit given below: lim ((1/(x+h)^6)-(1/(x^6))/h h->0 the derivative that is being calculated is dy/dx 11 months ago 11 months ago

1. mathcalculus Group Title

is it -6/(x-h)?

2. mathcalculus Group Title

thinkg the quotient rule first?

3. mathcalculus Group Title

since it's a fraction

4. pgpilot326 Group Title

have a look at this... you obviously have missed a few things in your class http://tutorial.math.lamar.edu/Classes/CalcI/DefnOfDerivative.aspx

5. mathcalculus Group Title

yes, i did.. it;s a summer session so we skipped a few.

6. pgpilot326 Group Title

ps, i'm not bagging on you but am attempting to help. if you realize they've given you the definition of the derivative for the function f(x) = 1/x^6, then it's very easy to rewrite as f(x) = x^(-6) and then take the derivative

7. pgpilot326 Group Title

the h is only in there because you using the definition and should not show up anywhere in your answer.

8. mathcalculus Group Title

thanks

9. satellite73 Group Title

you are being asked for the derivative of $$\frac{1}{x^6}$$

10. mathcalculus Group Title

1

11. pgpilot326 Group Title

?