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\frac{d}{dx}\left(\sin x\right)
\cos x
\frac{d}{dx}(\cos x)
-\sin x
\frac{d}{dx}(\tan x)
\sec^2 x
\frac{d}{dx}(\sec x)
\sec x \tan x
\frac{d}{dx}(\csc x)
-\csc x \cot x
\frac{d}{dx}(\cot x)
-\csc^2 x
\frac{d}{dx}(f(x)g(x))
f'(x)g(x)+f(x)g'(x)
\frac{d}{dx}\left(\frac{f(x)}{g(x)}\right)
\frac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}
\frac{\sin\left(x\right)}{x}
1
\frac{1-\cos\left(x\right)}{x}
0
\frac{d}{\differentialD x}\sin^{-1}x
\frac{1}{\sqrt{1-x^2}}