Derivative of tan(x)

Step-by-step solution

1. 1Derivative of tan
   $$\frac{d}{dx}\left[\tan \left(x\right)\right]={\sec }^2\left(x\right)$$

   The derivative of $\tan (x)$ is ${\sec }^2(x)$.

2. ✓Final Answer
   $$\frac{d}{dx}\left[\tan \left(x\right)\right]=\frac{1}{{\cos \left(x\right)}^2}$$

   The first derivative simplifies to $\frac{1}{{\cos \left(x\right)}^2}$.