jdiefheiheydue7342 jdiefheiheydue7342
  • 14-01-2020
  • Mathematics
contestada

Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.
f(x) = e^-1/x2

Respuesta :

windyyork windyyork
  • 15-01-2020

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

Step-by-step explanation:

Since we have given that

[tex]f(x)=e^{\frac{-1}{x^2}}[/tex]

We will derivative it:

So, it becomes,

[tex]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}}[/tex]

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

Answer Link

Otras preguntas

What did Darwin notice about life on the Galápagos Islands?
How do mosses adapt to the temperate deciduous forests?
Why was the battle of Saratoga important?
how did the daughter of liberty respond to the Townshend acts
Find the value of c such that each expression is a perfect-square trinomial.Please show steps on all thank you!1.  x^2-16x+c2. p^2-14p+c3. b^2+18b+c4. n^2-n+c
If you are only given slope intercept how would u sketch the line ?
What is bigger?? 2.5 feet or 32 inches?
Which statement is true about the thyroid hormones? (1) They increase the rate of metabolism in cells throughout the body. (2)They control how quickly cells use
When a car travels around a curve in the road what helps to keep the car driving in a curved path?
How to solve 14d-2d=-84