Question
Asked Oct 19, 2019
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Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x
f(x) x(3-x), x2
f'(x)
The equation of the line tangent to the graph of f at x 2 is y
Enter your answer in each of the answer boxes.
hp
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Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x f(x) x(3-x), x2 f'(x) The equation of the line tangent to the graph of f at x 2 is y Enter your answer in each of the answer boxes. hp

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Expert Answer

Step 1

Given:

f(x)x (3-x)
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f(x)x (3-x)

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Step 2

Formula used:

Point-slope form of line
(y-y)m(x-x
where m is the slope of the line and (x,. y) are passing point of line
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Point-slope form of line (y-y)m(x-x where m is the slope of the line and (x,. y) are passing point of line

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Step 3

In this case...

y f(x)= x(3-x)
and
at x 2
y 2(3-2)2x () = 2x1=2
So
(.J)(2,2)
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y f(x)= x(3-x) and at x 2 y 2(3-2)2x () = 2x1=2 So (.J)(2,2)

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Tagged in

Math

Calculus