Derivatives
The derivative of y = 3x2 - 4
What is dy/dx = 6x
The slope of the tangent line of y = 5x2 - 4x at x = 1.
What is 6
The slope of the curve is found using
What is the first derivative?
A numberline with f'(x) finds intervals of
Increasing and decreasing.
The two teams that played in the last Superbowl
What is the Cinncinati Bengals and the LA Rams?
The first derivative of f(x) = -6x2 + 10x - 14.
What is f'(x) = -12x + 10
The equation of the tangent line to y = 2x3 - 6 at x=2 using the formula y-y1=m(x-x1) where (x1,y1) is a point and m is the slope
What is y - 10 = 24(x-2)
The process of finding critical points.
Setting first derivative equal to zero.
A critical point where f'(x) changes from negative to positive.
What is a local maximum?
The world's largest bird.
What is the ostrich?
The first derivative of y = sqrt(x)
What is y' = 1/ (2sqrt(x) )
The x-coordinate of the critical points of the function f(x) = x2+x-6.
What is x = -1/2
The condition for a function f(x) to be increasing.
What is f'(x) > 0
The condition for a function to be concave up.
What is f''(x) > 0?
Mr Altum's Alma Mater
What is A&M?
The second derivative of
y = 6x^4 - 1/2 x^2 - 10
What is
y' = 72x^2 - 1
Classify the stationary point on y = 1/3x3 + 1/2x2 - 6x at x=2
What is a local minimum
The condition for a function f(x) to be concave down.
What is f''(x) < 0?
What is a local minimum?
The largest us state.
What is Alasaka?
Find the derivative of
(10x^2-7x)/(3x^4-5x^6)
f'(x) =
((20x-7)(3x^4-5x^6))/((12x^3-30x^5)(10x^2-7x))
The x-coordinate of the inflection point on the curve y = 1/6x3 + 3/2 x2.
What is x = -3?
The conditions for a point of inflection to occur.
What is f''(x) = 0 and a change in concavity.
The use of the second derivative test
What is classifying stationary points?
The nation that first gave women the right to vote.
What is New Zealand?