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Solve the given problems by finding the appropriate derivative.A computer is programmed to inscribe a series of rectangles in the first quadrant under the curve of $y=e^{-x} .$ What is the area of the largest rectangle that can be inscribed?

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 8

Applications

Derivatives

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Ah. So we need to find the largest area at the right time that can be inscribed in the first conference under the curve. Why equal to eat the negative? So to find the largest area of a rectangle, we need to find them just value of Y and the value of X. So what's wise its maximum? So finding the first derivative of Y is equal to eat the negative back D. Y E. S. They were the X. Is equal to negative E. To the negative X. So salmon, D Y. D. X equal to zero. To find the critical points, we have negative Make this easter and negative activity equals zero.

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