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 name of Mrs. Sheldon's dog.
What is Dahlia?
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 minimum?
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?
Mrs. Sheldon's Alma Mater
What is Virginia Tech?
The second derivative of
y = 6x^4 - 1/2 x^2 - 10
What is
y' = 72x^2 - 1
Classify the critical value 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?
A critical value that is concave down.
What is a local maximum?
The largest us state.
What is Alasaka?
Find the derivative of
(5x^2+4)/(3+x^2)
f'(x) =
(22x)/((3+x^2)^2)
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 purpose of the second derivative test
What is classifying critical values?
The nation that first gave women the right to vote.
What is New Zealand?