What is expand (x^2+4)(dy)/(dx) ?

The solution to expand (x^2+4)(dy)/(dx) is x^2(dy)/(dx)+4(dy)/(dx)

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expand (x^2+4)(dy)/(dx)

expand

(x^{2} + 4) \frac{d y}{d x}

x^{2} \frac{d y}{d x} + 4 \frac{d y}{d x}

Solution steps

(x^{2} + 4) \frac{d y}{d x}

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{d y}{d x}, b = x^{2}, c = 4

= \frac{d y}{d x} x^{2} + \frac{d y}{d x} 4

= x^{2} \frac{d y}{d x} + 4 \frac{d y}{d x}

(3 x^{2} - y) d x + (3 y^{2} - x) d y

4 (x \frac{d y}{d x} + y)

(3, - 1) x (- 1, 3)

\frac{( 7 - s )}{( ( s - 1 ) ( s - 4 ) )}

- \frac{32}{( 2 x + 1 ) ^{3}}

What is expand (x^2+4)(dy)/(dx) ?
The solution to expand (x^2+4)(dy)/(dx) is x^2(dy)/(dx)+4(dy)/(dx)