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Popular >

extreme 3x^4+16x^3

Solution

extreme points

3 x^{4} + 16 x^{3}

Solution

Minimum (- 4, - 256), Saddle (0, 0)

Solution steps

f^{'} (x) = 12 x^{3} + 48 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 4,

Increasing

: - 4 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 4

into

3 x^{4} + 16 x^{3} : - 256

Minimum (- 4, - 256)

Plug

x = 0

into

3 x^{4} + 16 x^{3} : 0

Saddle (0, 0)

Minimum (- 4, - 256), Saddle (0, 0)

Popular Examples

intercepts of y=x^2+2x-15 intercepts

y = x^{2} + 2 x - 15

slope of y+5=2(x+1)slope

y + 5 = 2 (x + 1)

domain of 2/(s^2-4)domain

\frac{2}{s ^{2} - 4}

range of (7x-21)/((x-7)(x+1))range

\frac{7 x - 21}{( x - 7 ) ( x + 1 )}

inverse of f(x)=((x+5))/(x+10)inverse

f (x) = \frac{( x + 5 )}{x + 10}

Frequently Asked Questions (FAQ)

What is the extreme 3x^4+16x^3 ?
The extreme 3x^4+16x^3 is Minimum(-4,-256),Saddle(0,0)