Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y sin(16x) = x cos(2y), (x/2, x/4) y =

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 24E
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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
y sin(16x) = x cos(2y),
(1/2, 1/4)
y =
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Transcribed Image Text:Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y sin(16x) = x cos(2y), (1/2, 1/4) y = Submit Answer
Expert Solution
Step 1

Given: ysin16x=xcos2y

Equation of a tangent at point a,b with slope m is defined as 

y-b=mx-a

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