BC Calc: First and Second Derivatives Flashcards

1

Where are the relative minimums on the graph?

2

Concave up (1,8)? F'(1)=-1 f''(1)=-2 f'(3)=0 f''(3)=-3 f'(7)=3 f''(7)=0 f'(8)=4 f''(8)=4

3

When is the function decreasing from -7 to 1? F(-7)=-2 f(-5)=-3 f(-3)=-3 f(1)=1

4

What term fits? Point (3,7) where f'(3)=0 and f''(3)=9 and infinite domain

5

What terms fits? Point (2,-4) where f'(-2)=-1 and f''(-2)=0 and infinite domain

6

What's the x-valus of the relative extrema? F'(x)=4x^2-8x-12

7

What are the x-values of the points of Inflection? F'(x)=x^3-3x^2-9x+0

8

When is the function increasing from -2 to 2? F'(-2)=.5 f'(1)=3 f'(0)=0 f'(1)=2 f'(2)=-7

BC Calc: First and Second Derivatives