CALC PONY PG 4 - U. J-A .JlJl~A) b) Answer: dy c Y _ ~ . -...

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Unformatted text preview: U. J-A .JlJl~A) b) Answer: dy c Y _ ~ . - x dx-- ex c) Answer: dy dxd. Y = Vln(x) d) Answer: dy dx-- e. y = arctan(x2) .. dy _ e) Answer: dx 7. Draw a rough sketch of the graph of f'(x). y=f(x) Use the existing coordinate system below. . x 8. Consider the implicitequation a. Find dy at (2,1). dx x2 + xy3 - 2x = 3y -1. b. Find the equation of the tangent line to the graph at the point (2,1). 3 2.5 2 Y1.5 1 0.5 0.5 1.5 x 2 2.5 3 c. Use the equation in part (a) to approximate the y coordinate of the point near (2,1) for which x =1.5. f(O) = Q (0) 9. Consider f(x) = cas( x) and Q(x) = ax2 + bx +c. Find a, band c so that: f'(O) = Q '(0) f"(O) = Q "(0) 2 ...
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