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Popular >

extreme-x^3+6x^2-16

Solution

extreme points

- x^{3} + 6 x^{2} - 16

Solution

Minimum (0, - 16), Maximum (4, 16)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 0

into

- x^{3} + 6 x^{2} - 16 : - 16

Minimum (0, - 16)

Plug

x = 4

into

- x^{3} + 6 x^{2} - 16 : 16

Maximum (4, 16)

Minimum (0, - 16), Maximum (4, 16)

Popular Examples

domain of 1/(x+2)+3 domain

\frac{1}{x + 2} + 3

domain of f(x)= 1/(x+9)domain

f (x) = \frac{1}{x + 9}

parity y=cos(sqrt(sin(tan(5x))))parity

y = cos (sin (tan (5 x)))

perpendicular 1/2 perpendicular

\frac{1}{2}

extreme f(x)=x^{4/5}extreme points

f (x) = x^{\frac{4}{5}}

Frequently Asked Questions (FAQ)

What is the extreme-x^3+6x^2-16 ?
The extreme-x^3+6x^2-16 is Minimum(0,-16),Maximum(4,16)