Derivatives Integrals Random Calculus Trig Stuff
100
10x
What is the derivative of 5x^2?
100
x^3/3 +3x + C
Integral of x^2 + 3 dx
100
e^x
d/dx e^x
100
tan(x) + C
If dy/dx=sec^2(x), then y =?
200
30x^2+8x+5
What is the derivative of 10x^3+4x^2+5x+10
200
radical 3 / 12
Definite integral of (4-x^2) ^ -(3/2) dx from 0 to 1
200
-1
At what value of x does f(x) = 3x^5 - 5x^3 + 15 have a relative maximum?
200
cos(x) + C
If y=sinx, dy/dx= ?
300
5
If f(x)= (x+1)^2, then f '(1) = ?
300
x^4/4 - 3x^2/2 +c
Integral of (x^3-3x)dx =?
300
xe^x(x+2)
If y=x^2e^x, then dy/dx =
300
-6sin(3x)cos(3x)
If y=cos^2(3x), then dy/dx = ?
400
1/2
If f(x)= radical (2x), then f '(2) =?
400
2- radical 3
Definite integral of 2x/ radical (1-x^2) dx from 0 to 1/2
400
1/2
If f(x)= sin(x), then f ' (pi/3) =?
400
1/2sin(2x)+C
if dy/dx=cos(2x), then y =?
500
One
The derivative of f is x^4(x-2)(x+3). At how many points will the graph of f have a relative maximum?
500
ln2-2
Definite integral of (x-4)/x^2 dx from 1 to 2
500
4/3
The area of the region enclosed by the graphs of y=x and y=x^2-3x+3 is
500
arcsin(x/5)+C
Integral of 1 / radical (25-x^2) dx?






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