calc frq

Trapezoidal reimann sum formula

Width of trapezoid × [f(first height) + f(second height)]/2

(Width times average of both heights

Mram formula

Width times height at midpoint (middle x value in rectangle)

Lram and rram for me

Draw graph

Intermediate value theorem

If f is continuous on the closed interval [a,b] and k is any number between f(a) and f(b) then there is at least one number c in [a, b] such that f(c) = k

Extreme value theorem

If f is continuous on the closed interval [a, b], then f has both a maximum and a minimum on the interval.

Mean value theorem

f'(c) = (f(b) - f(a))/ (b - a)

Implicit differentiaton how 2 do

Look @ pic

xy → y+xy’ (chain rule)

Average value theorem

1/ (b-a) times the integral on (a, b) of f(x) dx

Velocity and acceleration have same sign

Speed increases

Velocity and acceleration have opp sign

Speed decreases