Derivatives
Anti Derivatives
Principles
Tangent Lines *all are in point slope form*
Definite Integrals
100

The derivative of the function x2+14x+19 is

What is 2x+14?

100

The anti-derivative of the function Xis

What is 1/4X4?

100

The equation for the volume of a figure whose cross sections perpendicular to the X-axis are squares is 

What is the integral from a to b of x2dx

100

The line tangent to the curve x2 at x=2 is

What is y=4(x-2)+4?

100

The integral of 16x2+8x dx from 3 to 5 is

What is 586.667?

200

The fully simplified derivative of (7x2+9x)(x3) is

What is 35x4+36x3?

200

The anti derivative of 1/X is

What is ln(x)?

200

The theorm that states when a line is continuous between 2 end points it must hit every point between the 2 end points is

What is the Mean Value Theorm
200

The line tangent to the curve 3x3+4 at x=4 is

What is y=144(x-4)+196?

200

The integral of (1/(8x3+4x)) dx from 1 to 6 is 

What is 0.049?

300

The derivative of 5e5x is

What is 25e5x?

300

The anti-derivative of the function 54e9x is

What is 6e9x?

300

The theorem that states that a function must have at least one minimum and maximum if the function is continuous on the closed interval [a,b] 

What is the extreme value theorem?

300

π=pi The line tangent to the curve sin(πx)-3 at x=π is

What is y=-2.836(x-π)-3.43?

300

The integral of sin(x) dx from 0 to 2 pi is

What is 0?

400

The fully simplified derivative of the function (2x+5)/(6x+3) is

What is (-24)/(36x2+36x+9)?

400

The anti-derivative of the function 16x3+36x2+28x+4 is

What is 4x4+12x3+14x2+4x?

400

The equation that finds the average value over a given integral is

what is 1/(b-a) times the integral from a to b of xdx?

400

The line tangent to the function ln(2x) at x=3 is

What is y=.333(x-3)+ln6?

400

The Integral of 4x4+6x3+2x+7 dx from 0 to 4 is

What is 1247.2?

500
The derivative of log(x) is

What is (1)/(xln10)?

500

The anti-derivative of the function 6sec2(3x) is

What is 2tan(3x)?

500

The theorem that states that if f(x)≤g(x)≤h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k)=f(k)=h(k) is

What is the sandwich theorem?

500

The line tangent to the function 1/(7x2-9) at x=-1 is

What is y=3.5(x+1)-.5?

500

The integral of x6+2x2+15 dx from 0 to 8 is

What is 300,054.476?