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Calculus 1: Derivatives of Trig Functions

Use the definition of the derivative to show that the derivative of sinx\sin{x} is equal to cosx\cos{x}

Show that the derivative of cosx\cos{x} is equal to sinx-\sin{x}

Show that the derivative of tanx\tan{x} is equal to sec2x\sec^2{x}

Use the quotient rule to find the derivative of secx\sec{x}

Use the quotient rule to find the derivative of cscx\csc{x}

Find the derivative of the trig function, f(x)=sin(x2+x)f(x) = \sin{(x^2 + x)}

What is the derivative of y=xcos(x)y = x{}\cos{(x)}

Find the derivative of y=tan(2x)x2y = \frac{\tan{(2x)}}{x^2}