1 Differentiate the following functions of : In z (a) 3x+2x-, (b) ln(1-x)+re-2x, (c) x 2...

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1 Differentiate the following functions of : In z (a) 3x²+2x-¹, (b) ln(1-x²)+re-2x, (c) x² 2 (Section 4.9) A car is travelling at velocity v(t) = 30t(4-t) kmph. (d) 3 sin(2x) - √ COST. (a) What is the maximim velocity of the car on 0≤t≤4? (b) How far does the car travel on 0≤ t ≤4? Use a derivative to answer (a) and an antiderivative for (b). 1 Differentiate the following functions of : In z (a) 3x²+2x-¹, (b) ln(1-x²)+re-2x, (c) x² 2 (Section 4.9) A car is travelling at velocity v(t) = 30t(4-t) kmph. (d) 3 sin(2x) - √ COST. (a) What is the maximim velocity of the car on 0≤t≤4? (b) How far does the car travel on 0≤ t ≤4? Use a derivative to answer (a) and an antiderivative for (b).