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5 10. Determine the equation of the tangent to the curve y = 2** at the point with x-coordinate > a. y-2=0 c. x+y(2~%)=o b.

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5 10. Determine the equation of the tangent to the curve y = 2*"* at the point with x-coordinate > a. y-2=0 c. x+y(2~%)=o b. "x+y(2+%)=0 d. x+y+(2_%)=0 Part B Full Soutions (40 Marks K/20, T/9, A/11, Organization and Presentation of Work (10 Marks C/10) Write complete and well-written solutions to the following problems in the appropriate spaces on the answer sheels. sin(x) cos(x)' 11. Using the fact that tan(x) = determine /' (x) for the function f(x) = tan(x). T/4 12. Find the derivative of f{x) = ~J3x =2 from first principles. K/6 13. Determine the first derivative of each of the following (simplify your answers as much as possible for T points): 2 a)h(x)=[x'2] K2 TN b)f(x)=3'l"_" K22 1-x ) g(x) = cos'(x) - In('sin(x) ) K/3 T/1 dy=2x " K3 TN 14. Consider the function f{x) = xe'*. a. Determine the absolute extrema of the function on the interval 4

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