How to find critical points and the using the first derivative test for $f(x) = 3x^4 - 4x^3 + 6$ ?

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How to find critical points and the using the first derivative test for $f(x) = 3x^4 - 4x^3 + 6$ ?

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Answer 1 · 2015-04-16T15:39:03

$f(x) = 3x^4 - 4x^3 + 6$
Derivative: $f'(x) = 12x^3 - 12x^2 = 12x^2*(x - 1)$
$f'(x) = 0$ when $x = 0$ and $x = 1$ . The critical points are: $(0, 6)$ and $(1, 5).$

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How to find critical points and the using the first derivative test for $f(x) = 3x^4 - 4x^3 + 6$ ?

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How to find critical points and the using the first derivative test for f(x) = 3x^4 - 4x^3 + 6f(x) = 3x^4 - 4x^3 + 6?

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How to find critical points and the using the first derivative test for $f(x) = 3x^4 - 4x^3 + 6$ ?