Derivative of trig/poly fxns Flashcards

1
Q

Power Rule

A

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

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2
Q

Sum Rule

A

d/dx (f+g)= df/dx+dg/dx

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3
Q

Product Rule

A

(f•g)’= f’•g+g’+f

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4
Q

Quotient Rule

A

(f/g)=g•f’-f•g’/g²

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5
Q

Constant Rule

A

d/dx(c)=0

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6
Q

d(x)/dx=

A

1

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7
Q

d/d(x) (sinx)=

A

cosx

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8
Q

d/d(x) (cosx)=

A

-sinx

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9
Q

d/d(x) (a^x)=

A

a^x •ln(a)

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10
Q

d/d(x) (e^x)=

A

e^x

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11
Q

d/d(x)(tanx)=

A

sec²x

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12
Q

d/d(x)(cotx)=

A

csc²x

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13
Q

d/d(x)(secx)=

A

secx•tanx

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14
Q

d/d(x)(cscx)=

A

-cscx•cotx

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15
Q

Chain Rule(1)

A

f(g(x))’=f’(g(x))•g’(x)

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16
Q

Chain Rule(2)

A

dy/dx= dy/dt•dt/dx