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Popular >

extreme 5+6x-8x^3

Solution

extreme points

5 + 6 x - 8 x^{3}

Solution

Minimum (- \frac{1}{2}, 3), Maximum (\frac{1}{2}, 7)

Solution steps

f^{'} (x) = - 24 x^{2} + 6

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{2},

Increasing

: - \frac{1}{2} < x < \frac{1}{2},

Decreasing

: \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

5 + 6 x - 8 x^{3} : 3

Minimum (- \frac{1}{2}, 3)

Plug

x = \frac{1}{2}

into

5 + 6 x - 8 x^{3} : 7

Maximum (\frac{1}{2}, 7)

Minimum (- \frac{1}{2}, 3), Maximum (\frac{1}{2}, 7)

Popular Examples

extreme y=(t-3t^2)^{1/3}extreme points

y = (t - 3 t^{2})^{\frac{1}{3}}

extreme f(x)=Y(x)=-2x^3-3x^2+3x+3 extreme points

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

extreme f(1)=x^3-6x^2+9x+2 extreme points

f (1) = x^{3} - 6 x^{2} + 9 x + 2

extreme f(x)= 2/3 x^3+11/2 x^2-21x+5 extreme points

f (x) = \frac{2}{3} x^{3} + \frac{11}{2} x^{2} - 21 x + 5

extreme f(x)=(x-3)e^{-5x}extreme points

f (x) = (x - 3) e^{- 5 x}

Frequently Asked Questions (FAQ)

What is the extreme 5+6x-8x^3 ?
The extreme 5+6x-8x^3 is Minimum(-1/2 ,3),Maximum(1/2 ,7)