49. Find a > 0 such that the tangent line to the graph of f(x) = x²e¯x at x = a passes through the origin (Figure 7). FIGURE 7 y + a f(x) = x²e-x X Rogawski et al., Single Variable Calculus, 4e, © 2019 W. H. Freeman and Company

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.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
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49. Find a > 0 such that the tangent line to the graph of ƒ(x) = x²e¯× at x = a passes
through the origin (Figure 7).
FIGURE 7
y
f(x) = x²e-x
X
a
Rogawski et al., Single Variable Calculus, 4e,
© 2019 W. H. Freeman and Company
Transcribed Image Text:49. Find a > 0 such that the tangent line to the graph of ƒ(x) = x²e¯× at x = a passes through the origin (Figure 7). FIGURE 7 y f(x) = x²e-x X a Rogawski et al., Single Variable Calculus, 4e, © 2019 W. H. Freeman and Company
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