I am stuck at this one question, mainly because I can't understand the question. Any help will be appreciated!!

Qn

In the following question, c=3

http://img28.imageshack.us/img28/6776/cma2q2.gif

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- April 12th 2010, 06:51 AMtottijohnQuestion on Differentiation
I am stuck at this one question, mainly because I can't understand the question. Any help will be appreciated!!

__Qn__

In the following question, c=3

http://img28.imageshack.us/img28/6776/cma2q2.gif - April 12th 2010, 07:58 AMHallsofIvy
Because it is talking about the derivative, this is the "difference quotient", .

Because f, here, is defined by different formulas for x< 0 and x> 0, you must use the limits "from the right" and "from the left".

As h approaches 0 "from the left, 0+ h= h< 0 so . f(0)= sin(3(0))= 0 so, for h< 0, .

.

As h approaches 0 "from the right", 0+ h= h> 0 so . for h> 0, .

.

To find that limit, you will need to remember a limit formula for and use the fact that .

The function, f, will be differentiable at x= 0 if and only if those two one sided limits are the same. - April 13th 2010, 01:58 AMtottijohn
Thanks for your help!

Wow, the maths syntax is hard to use.

Anyway, the answer is 3 since lim h->0(sinh/h)=1