To find dx, we need to take the derivative of x with respect to 𝜃.

The derivative of tan(𝜃) with respect to 𝜃 is sec^2(𝜃).

So, the derivative of 3 tan(𝜃) with respect to 𝜃 is 3 sec^2(𝜃).

Therefore, dx = 3 sec^2(𝜃) d𝜃.

Question

To find dx, we need to take the derivative of x with respect to 𝜃.

The derivative of tan(𝜃) with respect to 𝜃 is sec^2(𝜃).

So, the derivative of 3 tan(𝜃) with respect to 𝜃 is 3 sec^2(𝜃).

Therefore, dx = 3 sec^2(𝜃) d𝜃.

Knowee AI · Accepted Answer

To find dx, we need to take the derivative of x with respect to 𝜃.

The derivative of tan(𝜃) with respect to 𝜃 is sec^2(𝜃).

So, the derivative of 3 tan(𝜃) with respect to 𝜃 is 3 sec^2(𝜃).

Therefore, dx = 3 sec^2(𝜃) d𝜃.

Let x = 3 tan(𝜃), −𝜋/2 < 𝜃 < 𝜋/2. Then dx =