Limits
Derivative Rules
Derivatives of Trigonometric Functions
Integral Rules
Integrals of Trigonometric Functions
100

What is the limit as x approaches 0 of [sin(x)]/x

1

100

What is the derivative of a constant

0

100

What is the derivative of sin(x)

cos(x)

100

What letter is added to the end of every integral

C

100

What us the integral of cos(x)

sin(x)+C

200

What is the limit as x approaches 0 of x/[sin(x)]

1

200

What is the derivative of mx+b

m

200

What is the derivative of cos(x)

-sin(x)

200

What is the integral of 0

C

200

What is the integral of sin(x)

-cos(x)+C

300

What is the limit as x approaches 0 of [1-cos(x)]/x

0

300

What is the derivative of xn

nxn-1

300

What is the derivative of tan(x)

sec2(x)

300

What is the integral of xn

{[xn+1]/[n+1]}+C

300

What is the integral of sec^2(x)

tan(x)+C

400

If a function has a hole, a jump, or a vertical asymptote, it is...

non-continuous

400

What is the derivative of f*g

fI*g+f*gI

400

What is the derivative of cot(x)

-csc2(x)

400

What is the integral of k

kx+C

400

What is the integral of sec(x)tan(x)

sec(x)+C

500

If f(c) exists, the limit as x approaches c exists, and if the limit of f(x) as x approaches c is equal to f(c). The function is...

continuous

500

What is the derivative of f/g

[fI*g-f*gI]/g2

500

What is the derivative of sec(x)

sec(x)tan(x)

500

What is the integral of kx

k*[x2/2]

500

What is the integral of csc^2(x)

-cot(x)+C

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