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1) Consider the curve y = e^cos(x) . (a) Find y' (b) Use your answer to...

1) Consider the curve y = e^cos(x) .

(a) Find y'

(b) Use your answer to part (a) to find the equation of the tangent line to y = e^cos(x) at x = π/2.

2)

3)Consider the curve y = x + 1/x − 1 .

(a) Find y' .

(b) Use your answer to part (a) to find the points on the curve y = x + 1/x − 1 where the tangent line is parallel to the line y = − 1/2 x + 5

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