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Unformatted text preview: fgh ) (0) if f (0) = 1 , f (0) =-3 , g (0) =-2 , g (0) =-1 , h (0) =-5, and h (0) = 2. 8.) Assuming f is a dierentiable function, nd an expression for the derivative of each of the following functions: (a.) y = x 5 f ( x ) (b.) y = f ( x ) x 3 (c.) y = 1 + xf ( x ) x 2 9.) Find all points on the curve y = sin( x )cos( x ) where the tangent line is parallel to the line x + 2 y = 3. 10.) Where does the normal line to the parabola y = x-x 2 at the point (1 , 0) intersect the parabola a second time? 11.) Find equations of both lines through the point (2 ,-3) that are tangent to the parabola y = x 2 + x ....
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