Change along the involute of a circle Find the derivative

Chapter 13, Problem 56E

(choose chapter or problem)

Change along the involute of a circle Find the derivative of \(f(x, y)=x^{2}+y^{2}\) in the direction of the unit tangent vector of the curve

\(r(t)=(\cos t+t \sin t) i+(\sin t-t \cos t) j, \ \quad t>0\)

Equation Transcription:

f(x, y) = x2 + y2

r(t) = (cos t + t sin t)i + (sin t - t cos t)j,   t >0

Text Transcription:

f(x, y) = x^2 + y^2

r(t) = (cos t + t sin t)i + (sin t - t cos t)j,   t >0

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