Hi guys, I need help on these two questions. please kindly show me the steps on

Question

Hi guys, I need help on these two questions.
please kindly show me the steps on how to solve this problem.

Thank you

1)

2)

Find the slope and the equation of the tangent line to the graph of the function at the given value of x. The slope of the tangent line is - 24. (Simplify your answer. ) The equation of the tangent line is y = . Find the equation of the tangent line to the graph of f(x) = -4e8x/9x + 2 at (0,-2). The equation of the tangent line is y = (Simplify your answer. Type your answer in slope-intercept form. )

Explanation / Answer

1.

slope of the line is d f(x) / dx = 4x^3-4x = -24

and the point is -2,8

so, the equation of line will be => y = -24x - 39

2.

d (f(x)) / dx = -7 at the point (0,-2)

so equation of line will be y = -7x -2

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