Basic Derivative Rules

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14 Terms

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Power Rule

nx^n-1

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Product Rule

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

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Quotient Rule

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

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Trigonometry (Cos and Sin) Derivatives

cos(x)=-sin(x)

sin(x)=cos(x)

-sin(x)=-cos(x)

-cos(x)=sin(x)

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Derivative of Tan

sec^2(x)

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Derivative of Cot

-csc^2(x)

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Derivative of Sec

sec(x)tan(x)

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Derivative of Csc

-csc(x)cot(x)

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e^x Derivative

e^x

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log derivative

1/(lnb)x

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Exponential Derivative

(lna)a^x

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Natural Log Derivative

1/x

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Normal Trig Inverse Derivatives

arcsin(x)=1/sqrt(1-x²)

arccos(x)=-1/sqrt(1-x²)

arctan(x)=1/1+x²

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Other Trig Inverse Derivatives

arccsc(x)=-1/abs(1)sqrt(x²-1)

arcsec(x)=1/abs(x)sqrt(x²-1)

arccot(x)=-1/1+x²