Question

Let f(x) = 1 / (x + 3) Use the limit definition of the derivative to find (i) f'(-6) = (ii) f'(-5) = (iii) f'(-1) = (iv) f'(1) = To avoid calculating four separate limits, I suggest that you evaluate the derivative at the point when x = a. Once you have the derivative, you can just plug in those four values for "a" to get the answers.

          Let
f(x) = 1 / (x + 3)
Use the limit definition of the derivative to find
(i) f'(-6) =
(ii) f'(-5) =
(iii) f'(-1) =
(iv) f'(1) =
To avoid calculating four separate limits, I suggest that you evaluate the derivative at the point when x = a.
Once you have the derivative, you can just plug in those four values for "a" to get the answers.

Let
f(x) = 1 / (x + 3)
Use the limit definition of the derivative to find
(i) f'(-6) =
(ii) f'(-5) =
(iii) f'(-1) =
(iv) f'(1) =
To avoid calculating four separate limits, I suggest that you evaluate the derivative at the point when x = a.
Once you have the derivative, you can just plug in those four values for "a" to get the answers.

Added by Christopher G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Thanks for your feedback!

Let f(x) = 1 / (x + 3) Use the limit definition of the derivative to find (i) f'(-6) = (ii) f'(-5) = (iii) f'(-1) = (iv) f'(1) = To avoid calculating four separate limits, I suggest that you evaluate the derivative at the point when x = a. Once you have the derivative, you can just plug in those four values for "a" to get the answers.