Question

Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.

f(x) = e^-1/x2

Answer 1

Answer: The derivative of the given function is
`f'(x)=(2)/(x)e^{(1)/(x^2)}`

Explanation:

Since we have given that

`f(x)=e^{(-1)/(x^2)}`

We will derivative it:

So, it becomes,

`f'(x)=-e^{(1)/(x^2)}* ((1)/(x^2))'\\\\f'(x)=-e^{(1)/(x^2)}* (-2)/(x)\\\\f'(x)=(2)/(x)e^{(1)/(x^2)}`

Hence, the derivative of the given function is
`f'(x)=(2)/(x)e^{(1)/(x^2)}`