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Lena772
 2 years ago
(a) find an equation of the tangent line to
the graph of at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the derivative feature of the graphing utility to confirm your
results.
Lena772
 2 years ago
(a) find an equation of the tangent line to the graph of at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the derivative feature of the graphing utility to confirm your results.

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Lena772
 2 years ago
Best ResponseYou've already chosen the best response.1function: y= cos 3x point: (pi/4, sqrt2/2)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1i saw u doing a similar problem the other day ? :)

Lena772
 2 years ago
Best ResponseYou've already chosen the best response.1I just get confused when trig is added in

Decart
 2 years ago
Best ResponseYou've already chosen the best response.0do you know what the derivative is

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1so, slope = m = dy/dx = 3sin3x

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1since u want the slope at point: (pi/4, sqrt2/2) evaluate slope at x = pi/4

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1dy/dx at x = pi/4 : 3sin(3*pi/4) = ?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1that doesnt look right you should get : dy/dx at x = pi/4 : 3sin(3*pi/4) = \(\large \frac{3}{\sqrt{2}}\)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1now that u knw slope, m = \(\large \frac{3}{\sqrt{2}}\) point: (pi/4, sqrt2/2) wats the equation of tangent in point slope form ?

Lena772
 2 years ago
Best ResponseYou've already chosen the best response.1y(sqrt2/3)=(3/sqrt2)(x(pi/4)

Lena772
 2 years ago
Best ResponseYou've already chosen the best response.1So that's for a? What would the graph look like for b? Do I just put that equation into Geogebra?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1yup graph all 3 below : 1) function: y= cos 3x 2) point: (pi/4, sqrt2/2) 3) tangent : y(sqrt2/\(\color{red}{2}\))=(3/sqrt2)(x(pi/4)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1u should get exactly like the one attached
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