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Formulas that are not on the formula sheet
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Product Rule
A function multiplying the other function

Quotient Rule
A function divided by the other function

Chain Rule
A function within a function

Reverse Chain Rule

Pythagorean identity
\sin^2x+\cos^2x=1
Identity for \sin^2x
\sin^2x=\frac{1-\cos\left(2x\right)}{2}
Double Angle Formula for \sin\left(2\theta\right)
\sin\left(2\theta\right)=2\sin\theta\cos\theta
Double angle formula for \cos\left(2\theta\right)
\cos\left(2\theta\right)=\cos^2\theta-\sin^2\theta
Double angle formula for \tan\left(2\theta\right)
\frac{2\tan\theta}{\left(1-\tan^2\theta\right)}
Pythagorean identity for \sec^2\theta
\sec^2\theta=1+\tan^2\theta
d/dx (sinx)
\cos x
d/dx (cosx)
-sinx