AP Calculus AB - Derivatives

AP Calculus AB - Derivatives

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Section 1

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secutanu du

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Cards (22)

Section 1

(22 cards)

secutanu du

Front

Derivative of sec(x)

Back

Set numerator of derivative equal to 0

Front

Horizontal Tangents

Back

du/u

Front

Derivative of ln(u)

Back

f'(g(x)) g'(x)

Front

derivative of (f(g(x)))

Back

du/sqrt(1-u^2)

Front

Derivative of arcsin(u)

Back

du/(u ln(a) )

Front

Derivative of log, base a, of u

Back

cf'(x)

Front

derivative of cf(x)

Back

g'(x) + f'(x)

Front

derivative of g(x) + f(x)

Back

-cscucotu du

Front

Derivative of csc(u)

Back

f'(c) = (f(b) - f(a))/ (b - a)

Front

Mean Value Theorem

Back

du/(1+u^2)

Front

Derivative of arctan(u)

Back

e^u du

Front

Derivative of e^u

Back

(a^u) ln(a) du

Front

Derivative of a^u

Back

f(x)g'(x) + g(x)f'(x)

Front

Derivative of [f(x)][g(x)]

Back

[g(x)f'(x) - f(x)g'(x)]/[g(x)]^2

Front

Derivative of [f(x)]/[g(x)]

Back

-csc^2(u) du

Front

Derivative of cot(u)

Back

y - f(a) = f'(a)(x-a)

Front

equation for tangent to f(x) at x = a

Back

cosu du

Front

Derivative of sin(u)

Back

-sinu du

Front

Derivative of cos(u)

Back

sec^2(u) du

Front

Derivative of tan(u)

Back

y - f(a) = [-1/f'(a)](x-a)

Front

equation for a line normal to f(x) at x = a

Back

Set denominator of Derivative equal to 0

Front

Vertical Tangents

Back