Derivatives
Limits
Integrals
Differential Equations
Area/Volume
100
Another term for derivative.
What is slope at a point?
100
The value that a function approaches as the input approaches some value.
What is a limit?
100
The letter variable that represents the constant of integration, used in indefinite integral problems.
What is c?
100
Used to solve a 1st order differential equation of the form dy/dx = f(x) g(y).
What is separation of variables?
100
Formula that helps you find the area between two x curves.
What is ∫ab [ f(x) - g(x)] dx?
200
The derivative of 2x2 + 2x + 2 .
What is 4x +2?
200
lim (8−3x+12x2) x→2
What is 50?
200
Another term for Integral.
What is area under the curve?
200
The equation that represents the exponential growth/decay model.
What is dy/dx = ky?
200
Formula that helps you find the volume of a solid generated when R is revolved around the x-axis using the disk method.
What is V = ∫ba πr2 dx?
300
The formula that helps you find the derivative.
What is Power Rule?
300
lim x→−∞ 3+2x/4-5x is
What is 3/4?
300
∫6e3x dx
What is 2e3x + c?
300
Solution to the differential equation y ≤ −4y = 0.
What is y = e2x?
300
Let R be the region bounded by y = √x , the x-axis, and the vertical lines x = 0 and x = 4. Find the volume of the solid generated when R is revolved around the x-axis.
What is 8 π?
400
If dy/dx = x4 - 2x3+ 3x - 1, then d3y/dx3 evaluated at x=2 is
What is 24?
400
lim 4x2/e4x - 4x - 1 x→0
What is 0?
400
∫3x3-x2-5x+1/x-2 dx
What is x3+5/2x2+5x+11 ln |x-2|?
400
The rate of change of R with respect to x is proportional to m and inversely proportional to the square of d.
What is dR/dx = km/d2?
400
The area of the region enclosed by x = y2 − 3 and y = x + 1.
What is 4.5?
500
If y = x2 (ex −1), then = dy/dx
What is x2ex + 2xex −2x?
500
When x=2e, lim h→0 ln(x+h) - ln(x)/ h is
What is 1/2e?
500
∫1/x2 + 4x +5 dx
What is arctan(x+2) + c?
500
General solution to the differential equation dy/dx = cos x esin x/ cos y
What is sin-1(esin x + c)?
500
The area of the region enclosed by the curves y = - x3/2 + 2x2 and y = 4x -x2.
What is 4?