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1. Find the derivative of h(t) = (12 - 3e3t ) X 2. Find the equation of the line tangent to the curve f(x) =;
1. Find the derivative of h(t) = (12 - 3e3t ) X 2. Find the equation of the line tangent to the curve f(x) =; at x = 3. 15-2x 3. The concentration of a drug in the bloodstream t hours after injection is given by C(t) = 4.35te" where the concentration is measured in milligrams per meter. At what rate is the concentration changing after half an hour? 4. Find for the following: dx a. 2xy - cosy = y + sinx b. yex +2=Iny-1 COS X 5. Find the derivative of f (x ) = -3+2sinx 6. Find the derivative ofs(t) = In(
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