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Section 1

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(d/d)[cosx]

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Calculus Math

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Date created

Mar 14, 2020

Cards (37)

Section 1

(37 cards)

(d/d)[cosx]

Front

-sinx

Back

F prime of x

Front

f'(x)

Back

The Pythagorean theorem (right triangle only)

Front

a^2+b^2=c^2

Back

d/dx[tanx]

Front

sec²x

Back

(d/dx)[sinx]

Front

cosx

Back

(a+b)³

Front

a³+3a²b+3ab²+b³

Back

derivative of y with respect to x

Front

Dx[Y]

Back

The Chain rule

Front

d-outer * D-inner

Back

Area of a circle

Front

A=πr²

Back

derivative of y with respect to x

Front

dy/dx

Back

d/dx[cscx]

Front

-cscxcotx

Back

Sum and Difference rule

Front

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

Back

instantaneous rate of change

Front

Calculus slope

Back

Slope of line

Front

m= delta Y/ Delta X

Back

Product rule

Front

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

Back

Acceleration due to gravity

Front

-32ft/sec² or -9.8m/sec²

Back

Initial velocity is 0 if...

Front

an object is dropped

Back

Horizontal Tangents

Front

dy/dx=0

Back

Position function

Front

s(t)

Back

All answers must be simplified AFTER differentiating

Front

1. make all exponents positive 2. combine all like terms 3. combine fractions using LCD 4. use trig identities to simplify, if possible

Back

Initial hight of the object

Front

So

Back

d/dx[secx]

Front

secxtanx

Back

The volume of a circle

Front

V=4/3 πr^3

Back

Quotient Rule

Front

d/dx[f(x)/g(x)]=g(x)f´(x)g´(x)/[f(x)]², g(x) does not equal 0

Back

y prime

Front

y'

Back

Alternate LImit form of the Derivitive

Front

f'(c)= lim [f(x)-f(c)]/x-c X--> C

Back

derivative of f(x)

Front

d/dx[f(x)]

Back

Power Rule

Front

d/dx[x^n]=nx ^(n-1)

Back

Average Velocity

Front

Change in distance/change in time

Back

Vertical Motion

Front

s(t)= 1/2gt^2+Vot+so

Back

Constant Multiple

Front

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

Back

Average rate of change

Front

Algebra slope

Back

Volume of a cone

Front

1/3πr²h

Back

d/dx[cotx]

Front

-csc²x

Back

Constant Rule

Front

d/dx[c]=0

Back

Instantaneous Velocity

Front

s´(t)=v(t)

Back

Logarithm

Front

Y=logb(x)

Back