If 3x + 2x -10 =0 , x = ?
X = 2
There is a stationary point at (0, -5) on the graph of y=x2 -5. Is it a local maximum or minimum?
Local minimum.
Two fathers and two sons sat down to eat eggs for breakfast. They ate exactly three eggs, each person had an egg. Derive the reason this is possible. (Hint: this doesn't actually involve deriving.)
One of the 'fathers' is also a grandfather. Therefore the other father is both a son and a father to the grandson. In other words, the one father is both a son and a father.
What are the 3 types stationary points?
Local maximums & minimums, and points of inflection
FREE AUTOMATIC 100 POINTS!
Good job.
Find the derivative of the function y = 5x7 + 2x5 + x6 + 2x
y' = 35x6 + 10x4 + 6x5 + 2
One day, Liz drinks all of Caroline's water. (More like everyday but anyway). She's a nice person so she goes to fill it up, and when she comes back, she tosses it to Caroline. The water bottle's journey through space is given by the function y=x2 - 8x - 10. Find the stationary point that marks the local maximum.
(2, -22). Local minimum.
What do you get if you divide the circumference of a pumpkin by its diameter?
Pumpkin pi.
Find the stationary point of inflection for the function y = x4 - 3x3 +2.
Stationary point of inflection: (0,2).
Identify the coordinates of the stationary points of the function: f(x) = x2 - 2.
local minimum = (0, -2).
What's the title of our previous lesson?
One day, Liz is driving her car innocently to school when an alien ship abducts her, including the car. Liz is not about to explain to her parents why her car got lost in space, so she yells FACTORIALS! at the aliens until they get scared and drop her car. The arc formed by her brief journey towards the sky is given by the function y= -x2 + 3!x. Find the local maximum.
Local maximum: (3, 9)
100 divided by half?
200
Make at least 6 letter word out of the word INFLECTION.
examples: Infection, client
Find the coordinates and classify the stationary point of the function: f(x) = x3 + 1
inflection, (0,1)
what do you call the name of point that has the minim value of on the entire domain?
global minimum
(-3, 22) , (3, -14)
How do you spell my last name?
Ferreras
What is the quadratic formula?
False, x can also be = -3
If you can do this within 60 seconds of opening this question, you get an extra 100 points! If you can't, the other team gets that 100 points and you finish solving the problem. Derive: y=5(x^1/2) (3!x)
y' = (5/2x^1/2)(6x^2) + 60x(x^1/2)
One day Mrs. Bergman walks into her room, ready for a great day of teaching trig identities, when Evelyn, peer-pressured by Juan, jumps out of her hiding place and yells WHAT'S UP MRS. BERGMAN! Mrs. Bergman is so surprised that she yells back, INTEGRALS!, a substitute expletive that Ted would approve of. The inflection of her voice is so extreme that her Calc students use it's function, y = (2x-3)^3 (x+2), to find the inflection point, because we're curious like that. What are the coordinates of the point they found?
Stationary point of inflection: (3/2, 0)
Find the non-stationary point of inflection for the function y=2x^4 - 3x^3 +2x. Three sig figs.
Non-stationary point of inflection: (0.750, 0.867)