What is the extreme 5x+9x^{-1} ?

The extreme 5x+9x^{-1} is Maximum(-3/(sqrt(5)),-6sqrt(5)),Minimum(3/(sqrt(5)),6sqrt(5))

Popular >

extreme 5x+9x^{-1}

extreme points

5 x + 9 x^{- 1}

Maximum (- \frac{3}{5}, - 65), Minimum (\frac{3}{5}, 65)

Solution steps

f^{'} (x) = 5 - \frac{9}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - \frac{3}{5},

Decreasing

: - \frac{3}{5} < x < 0,

Decreasing

: 0 < x < \frac{3}{5},

Increasing

: \frac{3}{5} < x < \infty

Plug

x = - \frac{3}{5}

into

5 x + 9 x^{- 1} : - 65

Maximum (- \frac{3}{5}, - 65)

Plug

x = \frac{3}{5}

into

5 x + 9 x^{- 1} : 65

Minimum (\frac{3}{5}, 65)

Maximum (- \frac{3}{5}, - 65), Minimum (\frac{3}{5}, 65)

f (x) = 3 x^{3} - 3 x^{2} + 12 x - 5, - 1 \leq x \leq 1

f (x, y) = ln (- x^{2} - y^{2} + 4)

f (x) = - 2 x^{3} + 21 x^{2} - 36 x + 3

f (x) = 3 x^{2} + 5 y^{2} - 10 x y - 6 y + 1

What is the extreme 5x+9x^{-1} ?
The extreme 5x+9x^{-1} is Maximum(-3/(sqrt(5)),-6sqrt(5)),Minimum(3/(sqrt(5)),6sqrt(5))