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Answer :
To find the inflection points of the function f(x)=4x^4+23x^3-9x^2+5, differentiate the function twice to find the second derivative, set it equal to zero, and solve for x.
To find the inflection points of the function f(x) = 4x^4 + 23x^3 - 9x^2 + 5, we need to find the second derivative of the function and solve for when it equals zero.
First, find the second derivative by differentiating the function twice:
f'(x) = 48x^2 + 138x^2 - 18x
f''(x) = 96x + 276x - 18
Set f''(x) = 0 and solve for x to find the critical points:
96x + 276x - 18 = 0
372x - 18 = 0
x = 18 / 372 = 0.0484
So, the inflection point is (0.0484, f(0.0484)).
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