Questions
Find maximum or minimum values of the functions
a
3
b
6
c
18
d
9
detailed solution
Correct option is D
y=9-(x-3)2=9-x2-9+6xy=6x-x2dydx=6-2xFor minimum or maximum value of y. We will substitute dydx=06 - 2x=0 or x=3To check whether value of y is maximum or minimum at x=3 we will have to check whether d2ydx2 is positive or negative.d2ydx2=-2or d2ydx2 is negative at x=3. Hence, value of y is maximum. This maximum value of y isymax=9-(3-3)2=9Talk to our academic expert!
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Find the maximum/minimum value of y in the functions given below.
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