Chapter 3 Rules Flashcards

1
Q

Power rule

A

d/dx(X^n) = nX^n-1

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2
Q

Deriv of e^x

A

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

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3
Q

Deriv of Constant Times function

A

d/dx(Cf(x)) = C * d/dx(f(x))

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4
Q

Deriv of sum

A

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

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5
Q

Deriv of difference

A

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

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6
Q

Product rule

A

d/dx(f(x) * g(x)) = f(x)g’(x) + f’(x)g(x)

or (UV)’=UV’ + U’V

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7
Q

Quotient Rule

A

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

or (U/V)’ = (VU’ - U’V)/V^2

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8
Q

Chain rule

A

d/dx((f*g) * x) =f’ (g(x)) * g’(x)

or (f(u))’= f’(u) * u’

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9
Q

Generalized Power rule

A

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

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