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15 Cards in this Set

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ƒ(x)=axⁿ
ƒ'(x)=anxⁿ⁻¹

ƒ(x)=e^x

ƒ'(x)=e^x

ƒ(x)=lnx

ƒ'(x)=1/x

ƒ(x)=b^x

ƒ'(x)=(lnb)b^x

ƒ(x)=log(b)x

ƒ'(x)=1/lnb · 1/x

ƒ(x)=sinx

ƒ'(x)=cosx

ƒ(x)=cosx

ƒ'(x)=-sinx

ƒ(x)=tanx

ƒ'(x)=sec²x

ƒ(x)=secx

ƒ'(x)=secx·tanx

ƒ(x)=cscx

ƒ'(x)=-cscx·cotx

ƒ(x)=cotx

ƒ'(x)=-csc²x

ƒ(x)=arcsinx

ƒ'(x)=1/(√1-x²)




everything in parentheses is under the radical

ƒ(x)=arccosx

ƒ'(x)=1/-(√1-x²)

ƒ(x)=arcsecx

ƒ'(x)=1/|x|(√1-x²)

ƒ(x)=arctan

ƒ'(x)=1/x²+1