What is (x-x^2)/(sqrt(x))-2cot(x) ?

The solution to (x-x^2)/(sqrt(x))-2cot(x) is sqrt(x)(1-x)-2cot(x)

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simplify (x-x^2)/(sqrt(x))-2cot(x)

simplify

\frac{x - x ^{2}}{x} - 2 cot (x)

x (1 - x) - 2 cot (x)

Solution steps

\frac{x - x ^{2}}{x} - 2 cot (x)

Factor

x - x^{2} : x (1 - x)

= \frac{x ( 1 - x )}{x} - 2 cot (x)

Apply radical rule:

a = a a

x = x x

= \frac{x x ( 1 - x )}{x} - 2 cot (x)

Cancel the common factor:

x

= x (1 - x) - 2 cot (x)

t \frac{d y}{d t} - y = y t

\frac{\partial}{\partial x} (e^{- 7 x} cos (7 π t))

n = 1 \sum \infty \frac{n ^{2}}{n + 5}

\int_{0}^{π} tan (x) d x

n = 1 \sum \infty \frac{1}{5 n}

What is (x-x^2)/(sqrt(x))-2cot(x) ?
The solution to (x-x^2)/(sqrt(x))-2cot(x) is sqrt(x)(1-x)-2cot(x)