Midterm 2 Flashcards

1
Q

Quotient Rule

A

(d/dx)[f(x)/g(x)] = [f’(x)g(x)-f(x)g’(x)]/[g^2(x)]

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2
Q

(d/dx)tan(x)

A

sec^2(x)

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3
Q

(d/dx)sec(x)

A

sec(x)tan(x)

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4
Q

(d/dx)cot(x)

A

-csc^2(x)

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5
Q

(d/dx)csc(x)

A

-csc(x)cot(x)

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6
Q

(d/dx)sin(x)

A

cos(x)

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7
Q

(d/dx)cos(x)

A

-sin(x)

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8
Q

Power Rule

A

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

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9
Q

Chain Rule

A

(d/dx)[f(g(x))] = f’(g(x))•g’(x)

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10
Q

(d/dx)[e^x]

A

e^x

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11
Q

(d/dx)[ln(x)]

A

1/x

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12
Q

Power Rule

A

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

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