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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