Derivatives
Find the derivative of y = 3x^2 sin x
y'=3x^2 cos x + 6x sin x
The derivative of a function is a ________ finder.
What is slope
Find the critical points of f(x)=2x^3-6x^2+2.
Find all values of c that satisfy the MVT
f(x)=3x2-8 [-1,3]
In what year was OMG started to
1917
f(x) = (3x - 2x^2)(5 + 4x)
f'(x)=-24x^2 + 4x + 15
The slope of the tangent line is the ___________ rate of change.
What is instantaneous
Use the First Derivative Test to find the relative min and relative max for f(x)=x^3-27x-20.
What is relative max at (-3,34) and relative min at (3,-74).
Find all values of c that satisfy the MVT
f(x)=sqrt(x) [4,9]
c=25/4
What do the 100 folds in a chefs hat represent?
The 100 ways to cook an egg
Find the derivative of y = (5x - 2)/(x^2 + 1)
dy/dx=(-5x^2 + 4x + 5)/(x^2 + 1)^2
The slope of the line tangent to f(x) = 4x^(3/2) at x = 9
What is 36
Use the first derivative test to find the relative max and min of f(x)=3x^4+8x^3-6x^2-24x.
What is relative mins at (-2,8) and (1,-19) and relative max at (-1,13).
Find all values of c that satisfy MVT
f(x)=|x-3| [0,4]
The MVT doesn't apply because f(x) is not differentiable at x=3
A mammal that lays eggs
What is a platypus
Find the derivative of f(x) = (2x + 5)/(x)1/2
f'(x)=(2x - 5)/(2x3/2)
The slope of the line tangent to f(x) = sin (x) at x=0
What is 1
The 2nd derivative shows?
Concavity
What do you call a group of bunnies?
A Fluffle
f(x) = sin3(4x) Find f'(x)
f'(x)=12sin2(4x)cos 4x
The equation of the line tangent to f(x) = 8x - 2x^2 at (3,6).
What is y = -4x + 18
Use the second derivative test to find the critical points, inflection points, concavity, and the graph of the function: f(x)=x^4-4x^3+10.
What is critical points: (0,10) and (3,-17), inflection points: (0,10) and (2,-6), concave up at x=3.
What is the speed of a computer mouse measured in?
Mickey's