Can anyone help me differentiate this function? y=sec x/ 1+ sec x
2 Answers
Explanation:
So
Given:
We can convert the secant functions into a single cosine function, if we multiply the fraction by 1 in the form of
Performing the multiplication:
We eliminate both secant functions, using the identity
To differentiate, use the quotient rule,
where
The first term in the numerator is 0, because the derivative of a constant is 0:
The derivative in the remaining term is