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Andreyy89
3 years ago
10

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

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

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

Step-by-step explanation:

Since we have given that

f(x)=e^{\frac{-1}{x^2}}

We will derivative it:

So, it becomes,

f'(x)=-e^{\frac{1}{x^2}}\times (\frac{1}{x^2})'\\\\f'(x)=-e^{\frac{1}{x^2}}\times \dfrac{-2}{x}\\\\f'(x)=\dfrac{2}{x}e^{\frac{1}{x^2}}

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

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