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Question

Solve this :

9. Find the minimum and maximum values of function y = x3 - 3x2 + 6. Also find the values of x at which these occure.
10. The particle's position as a function of time is given as x = 5t2 - 9t + 3. Find out the maximum value of position co-ordinate ?

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Solution

Dear Student,
we acn solve one question at a time .post other question in other thread.solving 9.y=x3-3x2+6dydx=3x2-6x=0for x=0d2ydx2=6x-6put x=0 d2ydx2<0 hence x=0 is the point of maxima .for x=2d2ydx2=6x-6put x=2 d2ydx2>0 hence x=2 is the point of minima.Regrds

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