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Use a graphing calculator to estimate the x-coordinates of the inflection points of the function, rounding your answers to two decimal places. [Hint: Graph the second derivative, either calculating it directly or using NDERIV twice, and see where it crosses the x-axis. Enter your answers as a comma-separated list.]f(x) = x5 − 7x3 + 6x + 2

Question

Use a graphing calculator to estimate the x-coordinates of the inflection points of the function, rounding your answers to two decimal places. [Hint: Graph the second derivative, either calculating it directly or using NDERIV twice, and see where it crosses the x-axis. Enter your answers as a comma-separated list.]
f(x) = x5 − 7x3 + 6x + 2

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Step 1

Given,

f(x)=x-7x2 6x +2
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f(x)=x-7x2 6x +2

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Step 2

By calculation, derivative of f(x) are

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Step 3

For inflection points, second derivat...

"(x)0
20x3 42=0
2x(10x-21)0
0 or 10x2 - 21 = 0
2x
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"(x)0 20x3 42=0 2x(10x-21)0 0 or 10x2 - 21 = 0 2x

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Tagged in

Math

Calculus

Functions

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