What is the inflection f(x)=x(x-10sqrt(x)) ?

The inflection f(x)=x(x-10sqrt(x)) is (225/16 ,-84375/256)

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inflection f(x)=x(x-10sqrt(x))

inflection points

f (x) = x (x - 10 x)

(\frac{225}{16}, - \frac{84375}{256})

Solution steps

f^{''} (x) = 2 - \frac{15}{2 x}

Find intervals:

Concave Downward

: 0 < x < \frac{225}{16},

Concave Upward

: \frac{225}{16} < x < \infty

Plug

x = \frac{225}{16}

into

x (x - 10 x) : - \frac{84375}{256}

(\frac{225}{16}, - \frac{84375}{256})

- x^{3} + 3 x^{2} + 10 x

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

f (x) = a^{x}

f (x) = \frac{3 x}{8} + 1

f (x) = \frac{30 - 5 x}{x ^{2} - 11 x + 30}

What is the inflection f(x)=x(x-10sqrt(x)) ?
The inflection f(x)=x(x-10sqrt(x)) is (225/16 ,-84375/256)