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AP Calculus

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Section 1

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d/dx (e^x)

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Calculus Math

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Mar 1, 2020

Cards (33)

Section 1

(33 cards)

d/dx (e^x)

Front

e^x

Back

Reciprocal Identities

Front

sinxcscx=1 cosxsecx=1 tanxcotx=1

Back

d/dx (cos x)

Front

-sin x

Back

d/dx (csc x)

Front

-(csc x)(cot x)

Back

d/dx (ln x)

Front

1/x

Back

d/dx (tan x)

Front

(sec x)^2

Back

d/dx (cot x)

Front

-(csc x)^2

Back

d/dx (x^3)

Front

3x^2

Back

d/dx (ln(x))

Front

1/x

Back

Point-slope form of a line

Front

y = m(x-x1) - y1

Back

d/dx (log to the base b of x)

Front

x'/(xln(b))

Back

d/dx (b^x)

Front

b^x (ln b)

Back

Log A - Log B

Front

Log (A/B)

Back

Tangent Unit Circle

Front

https://www.google.com/search?q=unit+circle+with+tan&source=lnms&tbm=isch&sa=X&ved=0ahUKEwiriZyT7fbZAhXDpFkKHUgtCH0Q_AUICigB&biw=1920&bih=974#imgrc=Gb-RmwmB9Rl1vM:

Back

Log A + Log B

Front

Log (AB)

Back

Product rule

Front

d/dx (uv) = uv' + vu'

Back

d/dx (arccosx)

Front

-x'/(sqrt(1-x^2))

Back

Double Angle Identities

Front

cos(2x) = cos^2(x) - sin^2(x) sin(2x) = 2sinxcosx

Back

d/dx (arctanx)

Front

x'/(1+x^2)

Back

k Log A

Front

Log (A^k)

Back

d/dx (x^2)

Front

2x

Back

Sum and Difference Identities

Front

cos(x-y)=cosxcosy + sinxsiny sin(x-y)=sinxcosy - cosxsiny sin(x+y)=sinxcosy + cosxsiny cos(x+y)=cosxcosy - sinxsiny

Back

d/dx (logb(x))

Front

x'/(ln(b)x

Back

Chain Rule

Front

d/dx [f(g(x))] = g'(x) * f'(g(x))

Back

Quotient Identities

Front

tanx=sinx/cosx cotx=cosx/sinx

Back

Quotient rule

Front

d/dx (u/v) = (vu'-uv')/(v^2)

Back

d/dx (arcsinx)

Front

x'/(sqrt(1-x^2))

Back

d/dx (sec x)

Front

(sec x)(tan x)

Back

Mean Value Theorem

Front

If f is continuous on [a,b] and differentiable on (a,b), then there exists a number c on (a,b) such that f'(c)=(f(b)-f(a))/(b-a)

Back

Pythagorean Identities

Front

sin^2(x) + cos^2(x) = 1 tan^2(x) + 1 = sec^2x cot^2(x) + 1 = csc^2x

Back

The integral of 1/x (dx)

Front

ln|x|+C

Back

d/dx (sin x)

Front

cos x

Back

Unit Circle

Front

https://www.google.com/search?biw=1920&bih=974&tbm=isch&sa=1&ei=Bd-uWo70Au_n5gKzrquADw&q=unit+circle&oq=unit+circle&gs_l=psy-ab.3..0j0i67k1j0j0i67k1j0l2j0i67k1j0j0i67k1j0.139393.139393.0.139516.1.1.0.0.0.0.114.114.0j1.1.0....0...1c.1.64.psy-ab..0.1.110....0.izf-sHyun_M#imgrc=7btvgKywl0C4yM:

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