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AP Calculus Derivative Rules

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Section 1

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d/ dx [log_a (g(x))]

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Calculus Math

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Mar 1, 2020

Cards (17)

Section 1

(17 cards)

d/ dx [log_a (g(x))]

Front

g ' (x)/ [ln (a) * g(x)]

Back

derivative of cosx

Front

-sinx

Back

d/ dx [log_a (x)] =

Front

1/xln(a)

Back

derivative of cotx

Front

-csc^2x

Back

Quotient Rule

Front

bottom times the derivative of the top minus the top times the derivative of the bottom all over the bottom squared

Back

derivative of secx

Front

secxtanx

Back

derivative of cscx

Front

-cscxcotx

Back

Constant Multiple Rule

Front

g (x) = c f(x) then g ' (x) = c f ' (x)

Back

Power Rule

Front

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

Back

Sum and Difference Rule

Front

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

Back

derivative of sinx

Front

cosx

Back

Product Rule

Front

first times the derivative of the second plus the second times the derivative of the first

Back

ln g(x)

Front

g'(x)/g(x)

Back

d/ dx [ln (x)]

Front

1/x

Back

Chain Rule

Front

d/dx f(g(x)) = f'(g(x)) g'(x)

Back

derivative of tanx

Front

sec^2x

Back

Constant Rule

Front

f (x)= c then f ' (x)= 0

Back