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Find an equation of the tangent line to the parabola $y=a x^{2}$ at $x=x_{0} .$ Prove that the $x$ -intercept of this tangent line is $\left(x_{0} / 2,0\right) .$...

Question

Find an equation of the tangent line to the parabola $y=a x^{2}$ at $x=x_{0} .$ Prove that the $x$ -intercept of this tangent line is $\left(x_{0} / 2,0\right) .$

Find an equation of the tangent line to the parabola $y=a x^{2}$ at $x=x_{0} .$ Prove that the $x$ -intercept of this tangent line is $\left(x_{0} / 2,0\right) .$



Answers

Find an equation of the tangent line to the curve at the given point.
$ y = 2^x, (0, 1) $


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