Use implicit differentiation to show that the equation of thetangent line to the curve

Chapter 3, Problem 14

(choose chapter or problem)

Use implicit differentiation to show that the equation of the tangent line to the curve $y^{2}=k x$

at $\left(x_{0}, y_{0}\right)$ is $y_{0} y=\frac{1}{2} k\left(x+x_{0}\right)$

Equation Transcription:

${y}^{2}=kx$

$({x}_{0},{y}_{0})$

${y}_{0}y=\frac{1}{2}k(x+{x}_{0})$

Text Transcription:

y^2 =kx

(x_0 ,y_0)

y_0 y=½ k(x+x_0)

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