derivative rules Flashcards

not fail class (11 cards)

1
Q

Power Rule d/dx(x^n)=

A

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

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2
Q

Limit Expression

A

lim h->0 ((x+h)(x+h)-x^2)/h

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2
Q

d/dx [cosx]=

A

-sinx

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3
Q

d/dx [sinx]=

A

cosx

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4
Q

d/dx [cotx]=

A

-csc^2 x

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5
Q

d/dx [secx]=

A

secx tanx

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6
Q

d/dx [cscx]=

A

-cscx cotx

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7
Q

d/dx [tanx]=

A

sec^2 x

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8
Q

Product Rule [f*g]’=

A

f’g+fg’

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9
Q

Quotient Rule d/dx[f/g]=

A

(gf’-fg’)/g^2

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10
Q

Chain Rule d/dx(f[g(x)])=

A

f’[g(x)]*g(x)

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