Posted by Becky on Tuesday, February 12, 2013 at 9:00pm.
we want the limit as h->0 of
[m(x+h)-m(x)]/h
= [1/(x+1+h) - 1/(x+1)]/h
= [(x+1) - (x+1+h)] / h(x+1)(x+1+h)
= h/h * -1/(x+1)(x+1+h)
--> -1/(x+1)^2
Related Questions
Calculus derivatives - f(a) = a + √a (a) Find the derivative of the ...
calculus - Find the derivative of the function using the definition of ...
calculus - You are given the following function. f(x)= (8+x)/(1-8x) (a) Find the...
Math - How would I find the derivative of x^2 + 3x using the definition of the ...
Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...
CALCULUS help! =) - find the derivative of f(x)=3x^2-x using the limit ...
math - find derivative using limit definition: f(x) = x - sqrt(x) so f'(x...
Calculus - Any help would be much appreciated with the steps involved in each ...
Calculus 1 - Could you please explain how to find the slope using the definition...
Calculus - Any help would be much appreciated with the steps involved in each ...
For Further Reading
