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 playing in the Superbowl this weekend.
What is the New England Patriots 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
What is y - 10 = 24(x-2)
The process of finding stationary points.
Setting first derivative equal to zero.
A stationary 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 stationary point(s) on 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?
The capital city of the Philippines.
What is Manila?
The second derivative of y = 6x^4 - 1/2 x^2 - 10
What is y' = 12x^3 - x
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 a local minimum?
The biggest state of the US.
What is Alasaka?
From first principles the derivative of f(x) = 2x^2 - 6x
f'(x) = 4x - 6
The x-coordinate of the inflexion point on the curve y = 1/6x3 + 3/2 x2.
What is x = -3?
The conditions for a point of inflexion 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?