Question

Find the given value.
f(x) = 1 − x^2, f '' (−squareroot7)

Answer 1

f(x) = 1 − x^2
f'(x) = ?

Answer 2

Differentiate f(x) to find f'(x).

Answer 3

1-x^2 is -2x

Answer 4

Yes, the first derivative is -2x.
f'(x) = -2x
f''(x) = ? (find the derivative of -2x)

Answer 5

wouldn't that just be -2?

Answer 6

Yes. f''(x) = -2
The RHS is a constant and does NOT depend on x. So no matter what x is f''(x) will always be -2. Therefore, f''(−squareroot7) = -2

Answer 7

huh.. that easy?

Answer 8

Yep.

Answer 9

Thank you.. I have another one to post now. Thanks for your help on this one. :)