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Popular >

extreme-x^3+6x^2-15

Solution

extreme points

- x^{3} + 6 x^{2} - 15

Solution

Minimum (0, - 15), Maximum (4, 17)

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} - 15 : - 15

Minimum (0, - 15)

Plug

x = 4

into

- x^{3} + 6 x^{2} - 15 : 17

Maximum (4, 17)

Minimum (0, - 15), Maximum (4, 17)

Popular Examples

critical x^2+2 critical points

x^{2} + 2

range of f(x)=log_{2}(x-3)range

f (x) = lo g_{2} (x - 3)

symmetry y^2=x+16 symmetry

y^{2} = x + 16

f (x) = 3 x - 1

line (0,14.03),(24.14,0)line

(0, 14.03), (24.14, 0)

Frequently Asked Questions (FAQ)

What is the extreme-x^3+6x^2-15 ?
The extreme-x^3+6x^2-15 is Minimum(0,-15),Maximum(4,17)