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Popular >

extreme sqrt(x)*7-x

Solution

extreme points

x \cdot 7 - x

Solution

Minimum (0, 0), Maximum (\frac{49}{4}, \frac{49}{4})

Solution steps

f^{'} (x) = \frac{7}{2 x} - 1

Find intervals:

Increasing

: 0 < x < \frac{49}{4},

Decreasing

: \frac{49}{4} < x < \infty

Plug

x = 0

into

x \cdot 7 - x : 0

Minimum (0, 0)

Plug

x = \frac{49}{4}

into

x \cdot 7 - x : \frac{49}{4}

Maximum (\frac{49}{4}, \frac{49}{4})

Minimum (0, 0), Maximum (\frac{49}{4}, \frac{49}{4})

Popular Examples

extreme f(x)=-5x^2-8y^2-2xy+102y extreme points

f (x) = - 5 x^{2} - 8 y^{2} - 2 x y + 102 y

extreme f(x)=x^{2/3},-1<= x<= 8 extreme points

f (x) = x^{\frac{2}{3}}, - 1 \leq x \leq 8

extreme 2x^3-3x^2-72x+1 extreme points

2 x^{3} - 3 x^{2} - 72 x + 1

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extreme f(x)=(x^5)/5-ln(x)extreme points

f (x) = \frac{x ^{5}}{5} - ln (x)

Frequently Asked Questions (FAQ)

What is the extreme sqrt(x)*7-x ?
The extreme sqrt(x)*7-x is Minimum(0,0),Maximum(49/4 , 49/4)