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anonymous
 4 years ago
Let f(x) = 3 x^2  8.
Find an equation of the line tangent to the graph of f at the point where x = 3.
y =
anonymous
 4 years ago
Let f(x) = 3 x^2  8. Find an equation of the line tangent to the graph of f at the point where x = 3. y =

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Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Do you know that the first derivative is the tangent function?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that the deriv 6x so plug that in the equation

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1At x = 3, f'(x)=18 and that is the slope of the tangent at x = 3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0y=mx+b right? or yy1=mxx1

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1y=6x That is the equation of the tangent function. At x = 3, it has a value of 18 and that is the slope of the tangent at that point.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Why don't you draw the graph of the parabola and then draw the tangent at x = 3 and see what it looks like?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1That would help you understand.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0wait what is the full equation y=6x?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1So if you want the equation of the tangent you know its slope is 18 and you know it goes through the point (3,19) So use either y= mx+b or point slope form. Whichever you prefer.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1y=6x is the function that gives you the slope of the tangent at any x value of the parabola.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1\[y19=18(x+3)\] \[y=18x35\]

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1y=18(3)+b 19=18(3)+b

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0for some reason im not writing it corrrectly bcause my book says its wrong

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1what does your book say it is?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0equation of the tangent line of y = x3 at x = 2

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1We are not working with the function y = x^3. We are doing y = 3x^28

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1What does your book say for this one?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah they only want the equation

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Well it would be easy to find b and if i were you I would give both answers.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Because the problem specifies to find the equation of the tangent at x = 3.
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