What is f'(x) and f(1)?
Given
f''(x) = 4x+4
and f'(-1)=1 and f(-1) =-2
Given
f''(x) = 4x+4
and f'(-1)=1 and f(-1) =-2
1 Answer
Use the antiderivatives to obtain the exact equations for f'(x) and f(x). From that we get:
and
Explanation:
We can apply the antiderivative to:
to obtain an equation for the first drivative:
Now let's evaluate
So, the exact equation for the first derivative is:
We repeat the process to obtain an equation to the original function:
And evaluate the function, when
The exact function then is:
FInally, we find: