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Calculus 1: Derivatives of Trig Functions

Use the definition of the derivative to show that the derivative of ##\sin{x}## is equal to ##\cos{x}##
Show that the derivative of ##\cos{x}## is equal to ##-\sin{x}##
Show that the derivative of ##\tan{x}## is equal to ##\sec^2{x}##
Use the quotient rule to find the derivative of ##\sec{x}##
Use the quotient rule to find the derivative of ##\csc{x}##
Find the derivative of the trig function, ##f(x) = \sin{(x^2 + x)}##
What is the derivative of ##y = x{}\cos{(x)} ##
Find the derivative of ##y = \frac{\tan{(2x)}}{x^2} ##