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AP Calculus: Chapter 2

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Section 1

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cotx'

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Calculus Math

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Mar 1, 2020

Cards (28)

Section 1

(28 cards)

cotx'

Front

-csc^2x

Back

cosine rule

Front

d/dx(cosx)=-sinx

Back

Implicit Differentiation

Front

1. Differentiate both sides of the equation with respect to x--variables will b x, y, and y' 2. Isolate y' on one side

Back

Area of circle

Front

A=πr²

Back

secx'

Front

secxtanx

Back

Type 1 of chain rule

Front

angle that is more than just x

Back

product rule

Front

uv' + vu'

Back

Type 3 of chain rule

Front

angle more than x and trig to a power

Back

product rule saying

Front

1st x derivative of 2nd + 2nd x derivative of 1st

Back

first quadrant of unit circle

Front

π/2 = (0,1) π/3 = (1/2, √3/2) π/4 = (√2/2, √2/2) π/6= ( √3/2, 1/2) 0 = (1,0)

Back

position formula

Front

x(t)

Back

acceleration formula

Front

x''(t)

Back

Sum and Difference Rule

Front

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

Back

Type 2 of chain rule

Front

trig to power

Back

Constant Multiple Rule

Front

d/dx[cf(x)]=cf'(x)

Back

Sin rule

Front

d/dx [sinx] = cosx

Back

velocity formula

Front

x'(t)

Back

tanx'

Front

sec^2x

Back

Formal definition of derivative

Front

lim h->0 f(x+h)-f(x)/h

Back

cscx'

Front

-cscxcotx

Back

Volume of a rectangular prism

Front

V=lwh

Back

Composite rule

Front

F(g(x)) = f'(g(x)) • g'(x)

Back

Quotient rule saying

Front

bottom x derivative of the top - top x derivative of bottom/ bottom^2

Back

Power rule

Front

d/dx x^n = nx^n-1

Back

Chain Rule

Front

d/dx = U^n = n x U^n-1 x U'

Back

Quotient Rule

Front

(uv'-vu')/v²

Back

Constant rule

Front

d/dx [c] = 0

Back

When does the derivative not exist?

Front

1. any discontinuity 2. Sharp point 3. Vertical tangent line

Back