Can use the chain rule

To find the derivative of the function y = (sec(x) + tan(x))^19, we can use the chain rule. Let's break down the steps:

Step 1: Rewrite the function using trigonometric identities:

dy/dx = n * u^(n-1) * du/dx

Step 3: Find du/dx:

Step 4: Substitute u and du/dx into the chain rule formula:

dy/dx = 19 * ((1 + sin(x))/cos(x))^(19-1) * (1 + 2sin(x))/(cos^2(x))