What is the extreme 2x^4-196x^2-3 ?

The extreme 2x^4-196x^2-3 is Minimum(-7,-4805),Maximum(0,-3),Minimum(7,-4805)

Popular >

extreme 2x^4-196x^2-3

extreme points

2 x^{4} - 196 x^{2} - 3

Minimum (- 7, - 4805), Maximum (0, - 3), Minimum (7, - 4805)

Solution steps

f^{'} (x) = 8 x^{3} - 392 x

Find intervals:

Decreasing

: - \infty < x < - 7,

Increasing

: - 7 < x < 0,

Decreasing

: 0 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = - 7

into

2 x^{4} - 196 x^{2} - 3 : - 4805

Minimum (- 7, - 4805)

Plug

x = 0

into

2 x^{4} - 196 x^{2} - 3 : - 3

Maximum (0, - 3)

Plug

x = 7

into

2 x^{4} - 196 x^{2} - 3 : - 4805

Minimum (7, - 4805)

Minimum (- 7, - 4805), Maximum (0, - 3), Minimum (7, - 4805)

f (x) = - x^{2} - y^{2} + 8 x + 8 y

f (x) = sin (3 x), - \frac{π}{4} \leq x \leq \frac{π}{3}

f (x, y) = x^{3} + 8 x^{2} y^{2} - 8 y^{3} - x + y

f (t) = 4 t^{3} - 36 t^{2} + 10, t \geq 0

f (x) = 3 x^{4} + 20 x^{3} - 36 x^{2} - 4

What is the extreme 2x^4-196x^2-3 ?
The extreme 2x^4-196x^2-3 is Minimum(-7,-4805),Maximum(0,-3),Minimum(7,-4805)