Match each function in List I with its derivative in List II.

Explanation

1. 01

   $\frac{d}{dx}\tan x = \sec^{2} x$ and $\frac{d}{dx}\sec x = \sec x\tan x$.

2. 02

   The co-functions carry a minus sign: $\frac{d}{dx}\cot x = -\operatorname{cosec}^{2} x$ and $\frac{d}{dx}\operatorname{cosec} x = -\operatorname{cosec} x\cot x$.