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For Problems 1-2, find the derivative of the given fu appear. Show enough work so that it's clear that you final answer. 1. f(x) = (x²+x+1)eª 3. Find the equation of the tangent line to the par= 4. A dam having a width of 500 m is holding back a

For Problems 1-2, find the derivative of the given fu appear. Show enough work so that it's clear that you final answer. 1. f(x) = (x²+x+1)eª 3. Find the equation of the tangent line to the par= 4. A dam having a width of 500 m is holding back a

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 38CR: Use the rules for derivatives to find the derivative of each function defined as follows. y=-7x2e-3x
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For Problems 1-2, find the derivative of the given function. Assume that a, b, and c are constant wherever they appear. Show enough work so that it's clear that you, and not your calculator, took the derivative, and circle your final answer. 1. f(x) = (x² + x + 1)e 2. f(x) = 2+ sin x x + cos x 3. Find the equation of the tangent line to the parabola y = 2x² − x + 3 at x = 2. Circle your final answer. 4. A dam having a width of 500 m is holding back a column of water of height H meters. The total force on the dam is given by F(H) = 2450H² kilonewtons. (a) Find F'(50), and include the correct units with your answer. (b) Give a complete sentence interpretation of F'(50) in the context of this problem. 500
Transcribed Image Text:For Problems 1-2, find the derivative of the given function. Assume that a, b, and c are constant wherever they appear. Show enough work so that it's clear that you, and not your calculator, took the derivative, and circle your final answer. 1. f(x) = (x² + x + 1)e 2. f(x) = 2+ sin x x + cos x 3. Find the equation of the tangent line to the parabola y = 2x² − x + 3 at x = 2. Circle your final answer. 4. A dam having a width of 500 m is holding back a column of water of height H meters. The total force on the dam is given by F(H) = 2450H² kilonewtons. (a) Find F'(50), and include the correct units with your answer. (b) Give a complete sentence interpretation of F'(50) in the context of this problem. 500
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