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Popular >

extreme f(x)=4x^2-1/x

Solution

extreme points

f (x) = 4 x^{2} - \frac{1}{x}

Solution

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

Solution steps

f^{'} (x) = 8 x + \frac{1}{x ^{2}}

Find intervals:

Decreasing

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

Increasing

: - \frac{1}{2} < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - \frac{1}{2}

into

4 x^{2} - \frac{1}{x} : 3

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

Popular Examples

extreme f(x)=xe^{(x/2)},-3<= x<= 1 extreme points

f (x) = x e^{(\frac{x}{2})}, - 3 \leq x \leq 1

extreme f(x)=(x^2)/(x^2-64)extreme points

f (x) = \frac{x ^{2}}{x ^{2} - 64}

extreme f(x)=-x-((64)/x)extreme points

f (x) = - x - (\frac{64}{x})

extreme f(x)=-0.3x^2+42x+200 extreme points

f (x) = - 0.3 x^{2} + 42 x + 200

extreme y=x(x-4)^3 extreme points

y = x (x - 4)^{3}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4x^2-1/x ?
The extreme f(x)=4x^2-1/x is Minimum(-1/2 ,3)