Consider the function f(x) = 10x³ - 72x2 30x + 6. Enter the number of critical points/numbers of f(x). Determine the x-coordinates of the critical points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any critical points.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 19E
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Consider the function \(f(x) = 10x^3 - 72x^2 - 30x + 6\).

Enter the number of critical points/numbers of \(f(x)\).

\[ \boxed{} \]

Determine the \(x\)-coordinates of the critical points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if \(f(x)\) does not have any critical points.

\[ \boxed{} \]
Transcribed Image Text:Consider the function \(f(x) = 10x^3 - 72x^2 - 30x + 6\). Enter the number of critical points/numbers of \(f(x)\). \[ \boxed{} \] Determine the \(x\)-coordinates of the critical points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if \(f(x)\) does not have any critical points. \[ \boxed{} \]
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