Derivatives
f(x)=2x
2
f(x)=(x5)(x2)
f'(x)=x7
∫3+x2 dt
What is x3/3+3x+C?
The category that encompasses the chain rule, product rule, and the quotient rule
What is derivative?
f(x)=tan(x)
f'(x)=sec2(x)
f(x)=(x2)(x0)(x)(x3)
x6
The overall concept that integrals are related to
What is area?
The term related to average rate of change
What is slope?
The derivative of velocity
What is acceleration?
f(x)=(2x4+7x-6)(-2x3+6)
f'(x)=-28x6-8x3+36x2+42
An example of a rule of integration
What is the power rule of integration, exponential rule of integration, etc
The theorem that guarantees that if f(x) is differentiable and continuous on (a,b), then there's at least one point, c, in (a,b) such that f'(c)=[f(b)-f(a)]/b-a.
What is the Mean Value Theorem?
f(x)=sin(2x)
f'(x)=2cos(2x)
f(x)=(sin(x)cos(x))
f '(x)=cos(2x)
∫5/y2dy
What is -5/y+c?
Name this point: The point where the graph of f''(x) changes from positive to negative or vice versa
What is an inflection point?
f(x)=(3x3-2x)/(4x-5)
f'(x)=(36x3-57x2+10)/(16x2-40x+25)
f(x)=-3sin(x)csc(x)
f'(x)=3cot(x)csc(x)sin(x)-3cos(x)csc(x)
∫4sin(x)+cos(x) dx
What is -4cos(x)+sin(x)+C?
A visual representation of a differential equation
What is a slope field?