What is expand (1+x^2)(dy)/(dx) ?

The solution to expand (1+x^2)(dy)/(dx) is (dy)/(dx)+x^2(dy)/(dx)

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expand (1+x^2)(dy)/(dx)

expand

(1 + x^{2}) \frac{d y}{d x}

\frac{d y}{d x} + x^{2} \frac{d y}{d x}

Solution steps

(1 + x^{2}) \frac{d y}{d x}

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{d y}{d x}, b = 1, c = x^{2}

= \frac{d y}{d x} 1 + \frac{d y}{d x} x^{2}

= 1 \frac{d y}{d x} + x^{2} \frac{d y}{d x}

Multiply:

1 \frac{d y}{d x} = \frac{d y}{d x}

= \frac{d y}{d x} + x^{2} \frac{d y}{d x}

\frac{x ^{2}}{( 2 + 3 x ^{3} ) ^{3}}

\frac{q ( a + b + c + d )}{c + d}

0.5 arctan ((x + 1)^{2})

\frac{( p + q ) 2 - 4 pq}{p - q}

What is expand (1+x^2)(dy)/(dx) ?
The solution to expand (1+x^2)(dy)/(dx) is (dy)/(dx)+x^2(dy)/(dx)