# Question 5

## You MAY NOT use a calculator to solve this question.

Let ƒ be the function given by ƒ(x) = 2x^{4} - 4x^{2} + 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) = 2x^{4} - 4x^{2} + 1

f'(x) = 8x^{3} - 8x

y' = 8x(x^{2 }- 1)

-being solved by jann =D

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