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Calculus (Official)

For AP Calculus and Beyond!

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Section 1

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Equation of a tangent line

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This can also be useful for AP Physics C preparations.

Calculus Math

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Last updated

11 months ago

Date created

Mar 1, 2020

Cards (14)

Section 1

(14 cards)

Equation of a tangent line

Front

find x and y (put x into the function), find slope/derivative y-y1=m(x-x1), simplify

Back

Power Rule

Front

nx^n-1

Back

exponential rule

Front

e^x=e^x copy exactly times the derivative of the exponent e^2x=2e^2x

Back

General Power Rule

Front

f[g(x)]^n f'(x)=n[g(x)]^n-1 take derivative of the outside times the derivative of what's in the parentheses

Back

Chain rule for Ln

Front

ln[g(x)] derivative= g'(x)/g(x) argument on the bottom derivative of argument on top g(x)=argument

Back

Horizontal Asymptote

Front

three rules: largest power of x is denom lim=0, largest power matches x is the coefficient, largest power in numerator limit is + or - infinity

Back

velocity

Front

find derivative, plug in #

Back

average rate of change

Front

plug # into equation, slope y2-y1/x2-x1, output plug # in

Back

vertical asymptote

Front

denominator = 0

Back

Quotient Rule

Front

B(x)T'(x) - T(x)B'(x)/Second function squared low de high -high de low square the bottom and off you go use parantheses!!

Back

Product Rule

Front

F('S)+S('F)

Back

Logarithmic Rule

Front

f(x)=lnx f'(x)= 1/x 5lnx =5(1/x) = 5/x

Back

Chain Rule for e

Front

e^g(x) derivative= e^g(x)times g'(x) "copy exactly times derivative of the exponent"

Back

rate of change

Front

derivative at a single point

Back