What is the derivative of #y=e^(tan(x))#?
2 Answers
Explanation:
This is a composite function, i.e. a function composed by two functions
In this case, the outer function is the exponential
The differentiation of a composite function is governed by the chain rule:
In other words, you derive the outer function, keeping the inner function as its input, and then multiply everything by the derivative of the inner function.
So, the derivative of the outer function,
Then, we multiply by the derivative of the inner function, and the derivative of
So, we have
Explanation:
Use the general equation:
In this case:
and
As such:
For more information on how to differentiate trigonometric functions and
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