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morpeh [17]
2 years ago
10

Given the function f(x) = 2-4, determine the slope of the tangent line of f at

Mathematics
1 answer:
AlladinOne [14]2 years ago
4 0

Answer:

Slope of the tangent line at x=-1

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

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given function

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

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

                         \frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)

                       \frac{dy}{dx} = e^{x-4} (1)

Slope of the tangent line

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

                       

                 

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