Calculus

Derivatives

100

X²

2X

200

X^-2

-2X^-3

300

Ln X

X^-1

400

Sin^-1X 

1/(1-x²)^1/2 

500

 Log_aX

1/XLna 

Vocab

100

The slope of a tangent line to a point 

Derivate 

200

Integration technique that tends favor what's on the left side.

Left riemann sum 

300

This theorem states that if there is a value a and b, and the function is continuous there is every y value between a and b at some x 

Intermediate Value Theorem 

400

If the limit has an indeterminate value when substituting in numbers what rule can you use?

L'Hôpital's rule

500

a method of calculating the volume of a solid that involves cutting the solid into pieces

Slicing Method 

Integrals

100

X²

1/3X³

200

Sec²X

Tanx 

300

e^x

e^x

400

1/4Sin4X

-1/16Cos4X

500

1/1+X²

Tan^-1X

Series

100

1/xⁿ

P Series

200

(1/X)ⁿ

Geometric

300

(a_n)^1/n

Nth Root Test

400

Lim a_n/b_n

Limit Comparison 

500

Lim a_n+1/a_n

Ratio Test

Units

100

Differential Equations 

Unit 7

200

Limits and continuity

Unit 1

300

Infinite Sequences and Series

Unit 10

400

Applications of integrations

Unit 8

500

Analytical Applications of Differentiations 

Unit 5