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Here is a graph of f(x) = x^2 and the line tangent to f(x) at (a,f(a)). The equation of the tangent line is y = -2x - 1. Find a, f(a), and the slope of the parabola f(x) at (a,f(a)). a = 

          Here is a graph of f(x) = x^2 and the line tangent to f(x) at (a,f(a)). The equation of the tangent line is y = -2x - 1.

Find a, f(a), and the slope of the parabola f(x) at (a,f(a)).

a =
Here is a graph of f(x) = x^2 and the line tangent to f(x) at (a,f(a)). The equation of the tangent line is y = -2x - 1. Find a, f(a), and the slope of the parabola f(x) at (a,f(a)). a =

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Here is graph of f(x) = x^2 and the line tangent to f(x) at (a,f(a)): The equation of the tangent line is y = -2x - 1. Find a, f(a), and the slope of the parabola f(x) at (a,f(a))
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Transcript

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00:01 Here we're given the equation f of x, which is equal to x squared.
00:06 And we're given the line tangent.
00:09 The equation of the line tangent is y is equal to negative 2x minus 1.
00:13 And that's at x equals a.
00:18 So first off, we want to find a.
00:22 Well, to find a, you might notice that the slope of the tangent line is negative 2.
00:27 So let's find when the slope of the tangent line is negative 2.
00:31 We'll do that by taking the derivative, which tells us the slope of the tangent.
00:34 Line...
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