Question

Match the functions given in the first column with their first derivatives.

• A. $se{c}^{2}x$
• B. $cosx$
• C. $secxtanx$
• D. $-cosecxcotx$

Answer 1

As mentioned in the videos, the derivatives of trigonometric functions are as follows.
$sinx\to cosxcosx\to -sinxtanx\to se{c}^{2}xsecx\to secxtanxcotx\to -cose{c}^{2}xcosecx\to -cosecxcotx$

For problem solving and to save the time, they should be remembered. In case you forget any of them, you can use the first principle to evaluate the derivative.