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Popular >

extreme x^4-4x^3+10

Solution

extreme points

x^{4} - 4 x^{3} + 10

Solution

Saddle (0, 10), Minimum (3, - 17)

Solution steps

f^{'} (x) = 4 x^{3} - 12 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 0

into

x^{4} - 4 x^{3} + 10 : 10

Saddle (0, 10)

Plug

x = 3

into

x^{4} - 4 x^{3} + 10 : - 17

Minimum (3, - 17)

Saddle (0, 10), Minimum (3, - 17)

Popular Examples

inflection y=-x^3+12x-16 inflection points

y = - x^{3} + 12 x - 16

distance (6,-2),(-5,5)distance

(6, - 2), (- 5, 5)

parallel 2x-4y+5=0,(-2,4)parallel

2 x - 4 y + 5 = 0, (- 2, 4)

domain of sqrt(1+2/x)domain

1 + \frac{2}{x}

inverse of f(x)=-2/3 x-8 inverse

f (x) = - \frac{2}{3} x - 8

Frequently Asked Questions (FAQ)

What is the extreme x^4-4x^3+10 ?
The extreme x^4-4x^3+10 is Saddle(0,10),Minimum(3,-17)