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Solve the given problems.Display the graph of $y=e^{x}$ on a calculator. Using the derivative feature, evaluate $d y / d x$ for $x=2$ and compare with the value of $y$ for $x=2$.

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 6

Derivative of the Exponential Function

Derivatives

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In mathematics, precalculu…

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In mathematics, a function…

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Sketch the graph of the fu…

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Use a graphing calculator …

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Graph the function by subs…

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Match each graph to the co…

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Okay, we got a calculated problem here. It's asking us to display why you cause either the axe and then compare the derivative of the function value it actually cost to. Okay so go ahead and get this graph. Either the X. We should see exponential growth. There it is and we're gonna be interested in the derivative dy dx at X equals two. What we should notice here and you can see it right under the graph. The derivative is 7.389 And the Y value of the function is 7.389 So what do we notice? We notice that the Y. Value why value equals the derivative? Uh huh. X equals two. If you want a little spoiler with neither, the access will actually be true for all X values. So it's not just that X equals to any X. Value, the derivative or the slope of the tangent will be the Y. Value.

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