IB Mathematics Analysis and Approaches 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 $f(x)=-6\sec (7x+2\pi )$

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

Differentiate $q(x)=x^{\frac{2}{3}}+4\csc x+2e^x$.

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 $f(x)=4\cot (5x-\pi )$

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

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

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