Tangent Line to an Exponential Function

Question

Let $$r$$ be the function defined by $$r(x) = e^{5 - \frac{x}{4}}$$. Which of the following is an equation of the line tangent to the graph of $$r$$ at the point $$(4, e^4)$$?

Accepted Answer

$$ y - e^4 = -\frac{e^4}{4}(x - 4) $$

Answer

$$ y - e^4 = -e^4(x - 4) $$

Answer

$$ y - e^4 = \frac{e^4}{4}(x - 4) $$

Answer

$$ y - 4 = -\frac{e^4}{4}(x - e^4) $$

Tangent Line to an Exponential Function

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