Question

The derivative of
f(x)=-(x-1)^2-2 is...
f'(x)= -x^2 + 2x - 3
Now find the slope.

Answer 1

The derivative is the slope...so the slope is f'(x)= -x^2+2x-3
If you wanna find slope at certain point then replace that point in f'(x)
for example if you wanna find slope at x=1 then
f'(1) = -(1)^2 +2(1) -3
= -1+2-3
= -4 + 2
= -2
so slope at point x=1 is -2...you can find slope at any given point by just replacing x by that number in f'(x) or at its derivative.
Remember derivative is the slope

Answer 2

got it?