Calculus

Question 1

Critical Point Definition

Answer 1

At x=c
when f’(c)=0 or f’(c) does not exist

Question 2

Local Extrema Definition

Answer 2

Just when the graph reaches it max or min point

Question 3

Second Derivative Test

Answer 3

If f’‘(c)>0, then local minima at c, concave up
If f’‘(c)<0, then local maxima at c, concave down

Question 4

Taylor Series

Answer 4

It’s an approximation

f(0)+f’(0)/1!x + f’‘(0)/2!x^2 …