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Given the function f(x) = 2-4, determine the slope of the tangent line of f at
x = -1 using the limit shown below. You do not have to simplify your answer.

Given the function fx 24 determine the slope of the tangent line of f at x 1 using the limit shown below You do not have to simplify your answer class=

Respuesta :

Answer:

Slope of the tangent line at x=-1

[tex](\frac{dy}{dx})_{x=-1} = e^{-5}[/tex]

Step-by-step explanation:

Explanation:-

Given function

                            y = f(x) = e ˣ⁻⁴  ...(i)

       Differentiating equation (i) with respective to 'x' , we get

                         [tex]\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)[/tex]

                       [tex]\frac{dy}{dx} = e^{x-4} (1)[/tex]

Slope of the tangent line

                       [tex](\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}[/tex]

                       

                 

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