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