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find the inflection points of x^4+5x^3-9x^2+6
14 years ago

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MathMate
An inflection point is where the second derivative of a function changes sign, also where curvature changes from concave to convex or vice versa.

Therefore to find inflection points, we only need to equate the second derivative of a function to zero, and solve for the zeroes.

f(x)=x^4+5x^3-9x^2+6
f"(x)=12x^2+30x-18
So solve for x where f"(x)=0.
Can you take it from here?
14 years ago

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