Find the x-values of the inflection points of f(x) = 4x4 + 54x³ - 42x2 + 6. (Give your answers as a comma separated list, e.g., 3,-2.) inflection points =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find the x-values of the inflection points of f(x) = 4x4 + 54x³ - 42x² + 6. (Give your answers as a comma separated list, e.g., 3,-2.)
inflection points =
Transcribed Image Text:vious Problem Problem List NOV Find the x-values of the inflection points of f(x) = 4x4 + 54x³ - 42x² + 6. (Give your answers as a comma separated list, e.g., 3,-2.) inflection points =
Expert Solution
Step 1

The inflection points are the points on the graph where the second derivative is equal to zero or undefined and these are the points where the graph changes the sign.

The given function is fx=4x4+54x3-42x2+6.

Find the derivative of the given function.

f'x=16x3+162x2-84x

Find the second derivative.

f''x=48x2+324x-84

 

 

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