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Show all working and answers Find the derivative. Simplify according to the rules established in class. (3 points each) 13. f (x ) = (x

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Find the derivative. Simplify according to the rules established in class. (3 points each) 13. f (x ) = (x 3 +3x -4) 14. f ( x ) = 2x (x) - 6) 15. y = Vx2 +6x -8 16. f (x ) = *- 6 )' 2x + 1 Find the slope of the tangent line to the following graphs at the given points by using implicit differentiation. 17. x2 - y2 =27 at (6,-3) (4 points) 18. (x+ y)' -4x =20y at (6,2) (4 points) 19. Find implicitly (4 points) dx 20. Find the point(s) where the following grap vertical tangent line. (5 points) x 2 - 2. xy + y = 5 4.12 + y2 - 8x + 4y+4=0 21. Find the equation of the tangent line to y = sin x + 2cos x at x = It (5 points) erivative Ist yay! = m ( x- *1 )

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