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Popular >

extreme 3x^4-4x^3+6

Solution

extreme points

3 x^{4} - 4 x^{3} + 6

Solution

Saddle (0, 6), Minimum (1, 5)

Solution steps

f^{'} (x) = 12 x^{3} - 12 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

3 x^{4} - 4 x^{3} + 6 : 6

Saddle (0, 6)

Plug

x = 1

into

3 x^{4} - 4 x^{3} + 6 : 5

Minimum (1, 5)

Saddle (0, 6), Minimum (1, 5)

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extreme x^3-12x-3 extreme points

x^{3} - 12 x - 3

extreme f(x)=e^xx+2,0<= x<= 6 extreme points

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Frequently Asked Questions (FAQ)

What is the extreme 3x^4-4x^3+6 ?
The extreme 3x^4-4x^3+6 is Saddle(0,6),Minimum(1,5)