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

Question

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

anonymous · Answer

is it -6/(x-h)?

anonymous · Answer

thinkg the quotient rule first?

anonymous · Answer

since it's a fraction

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

thanks

anonymous · Answer

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

anonymous · Answer

1

anonymous · Answer

?