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Question 5

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Saved by PBworks
on April 30, 2007 at 5:50:35 pm
 

Question 5

 

You MAY NOT use a calculator to solve this question.

 

Let ƒ be the function given by ƒ(x) = 2x4 - 4x2 + 1.

 

(a) Find an equation of the line tangent to the graph at (-2, 17).

 

(b) Find the x- and y-coordinates of the relative maxima and minima. Verify your answer.

 

(c) Find the x- and y-coordinates of the points of inflection. Verify your answer.

 

Solution

 

(a) In order to find the equation of the tangent line, we need to find the derivative of f(x).

 

    f(x) = 2x4 - 4x2 + 1

    f'(x) = 8x3 - 8x

    y' = 8x(x2 - 1)

 

-being solved by jann =D

 

 

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