4. (calculus with parametric curves) For the following curves, find an equation for the line tangent to the curve at the point defined by the given value of t. Also find d²y/dx² at that point. i. x = 1/t y = −2+ lnt, t = 1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 3YT: Your Turn The graph of y4x4y2+x2=0 is called the devils curve. Find the equation of the tangent line...
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4. (calculus with parametric curves) For the following curves, find an equation for the line tangent to the curve at
the point defined by the given value of t. Also find d²y/dx² at that point.
i. x = 1/t
y = −2+ lnt,
t = 1
Transcribed Image Text:4. (calculus with parametric curves) For the following curves, find an equation for the line tangent to the curve at the point defined by the given value of t. Also find d²y/dx² at that point. i. x = 1/t y = −2+ lnt, t = 1
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