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a. Find the first derivative and second derivative of the following functions (in their respective domains): (i) y=e^1-x^2 (ii) y=3x+ln[(3x-4)/(x-1)] b. Determine in which intervals

a. Find the first derivative and second derivative of the following functions (in their respective domains):

(i) y=e^1-x^2

(ii) y=3x+ln[(3x-4)/(x-1)]

b. Determine in which intervals of their respective domains the functions in part (i) and (ii) are increasing and decreasing.

c. Determine in which intervals of their respective domains the functions in part (i) and (ii) are convex and concave.

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