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nignag [31]
3 years ago
6

Explain the tangent line problem

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

The Tangent Line Problem  1/3How do you find the slope of the tangent line to a function at a point Q when you only have that one point? This Demonstration shows that a secant line can be used to approximate the tangent line. The secant line PQ connects the point of tangency to another point P on the graph of the function. As the distance between the two points decreases, the secant line becomes closer to the tangent line.
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andreev551 [17]

Answer:

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Step-by-step explanation:

Given the equation

\log _{10}\left(5\right)\left(x^2-9\right)=0

Divide both sides by \log _{10}\left(5\right)

\frac{\log _{10}\left(5\right)\left(x^2-9\right)}{\log _{10}\left(5\right)}=\frac{0}{\log _{10}\left(5\right)}

Simplify

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Simplifying

x^2=9

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{9},\:x=-\sqrt{9}

as

\sqrt{9}\:=3

-\sqrt{9}=-3

Therefore,

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3 0
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