Question Type 1: The derivatives of simple composite functions of the reciprocal trigonometric functions Exercises

Find the derivative of $f(x)=5\cot(4x)$.

Find the derivative of $f(x)=-4\cot(3x-2)$.

Find the derivative of $f(x)=7\sec(5x-3)$

Find the derivative of $f(x) = 8\cot\left(x - \frac{\pi}{6}\right)$

Find the derivative of $f(x)=-6\sec\bigl(7x+2\pi\bigr)$

Find the derivative of $f(x)=-3\csc\left(2x+\frac{\pi}{4}\right)$

Find the derivative of $f(x)=9\csc(-x)$

Find the derivative of $f(x)=5\csc\left(\frac{3x}{2}\right)$

Find the derivative of $f(x)=4\cot\bigl(5x-\pi\bigr)$

Find the derivative of $f(x)=3\sec(-2x)$.

Find the derivative of $f(x)=2\csc(4x)$

Find the derivative of $f(x)=-2\sec(3x+1)$