prove that d/dx (cscx) = -cscxcotx how do i prove this?
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I would begin with: $\displaystyle \frac{d}{dx}(f(x))\equiv\lim_{h\to0}\frac{f(x+h)-f(x)}{h}$
$\displaystyle \csc{x} = (\sin{x})^{-1}$ use the chain rule ... or $\displaystyle \csc{x} = \frac{1}{\sin{x}}$ use the quotient rule ...
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