Calculus
posted by Cesar on .
Sorry for posting another quesiton..;
f(x) = { 7x^2 + 7x for x<=0
{ 3x^2 + 7x for x>0
According to the definition of derivative, to compute f'(0), we need to compute the lefthand limit
lim x> 0− = _____
and the righthand limit
lim x>0+ ______
We conclude that f'(0)= _____
Write DNE if the derivative does not exist.
Ok... I know that the answer for f'(0) is 7... I thought that the answers for the previous 2 were 0 because I was left with 7x for the left one and 3x for the right one... what am I doing wrong?

For x> 0^{},
f'(x) = d(7x^2 + 7x)/dx = 14x+7 = 7
For x> 0^{+},
f'(x) = d(3x^2 + 7x)/dx = 6x + 7 = 7
Since f'(0^{}) = f'(0^{+}) = 7,
f'(0) exists, and equal to 7. 
I already tried 7 for the first two... but the web ways that the answer is incorrect...

I have no idea why that's not the answer.....

You may want to check if there is no typo somewhere.
Other than that, I cannot think of anything else.