What's the area of a triangle and circle?
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we are given
For finding inflection point, we will find second derivative
now, we can find derivative again
now, we can set it to 0
and then we can solve for x
we get
we know that inflection point is a point where concavity changes
so, we will draw a number line and locate x=-7/4
and then we can find sign of second derivative on each interval
Concave up interval:
Concave down interval:
Since, concavity changes at x=-7/4
So, there will be inflection point at x=-7/4
now, we can find y-value
So, the inflection point is
..............Answer
