The derivative of the function e^sec(x) is calculated using the chain rule. The process involves setting u = sec(x) and y = e^u, leading to the derivatives du/dx = tan(x)sec(x) and dy/du = e^u. The final derivative dy/dx is expressed as dy/dx = e^sec(x)tan(x)sec(x), confirming the correctness of the solution presented.
PREREQUISITESStudents studying calculus, particularly those focusing on differentiation techniques, as well as educators looking for examples of applying the chain rule with exponential and trigonometric functions.
Looks good to mealpha01 said:
