What is expand (4+t^2)(dy)/(dt) ?

The solution to expand (4+t^2)(dy)/(dt) is 4(dy)/(dt)+t^2(dy)/(dt)

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expand (4+t^2)(dy)/(dt)

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

(2, 3, 1) x (1, - 2, 2)

(6 x + 5) e^{2 x}

\frac{1 0 ^{5}}{1 0 ^{3}}

e^{x} (1 + x)^{17}

\frac{K}{( 1 + s T ) ^{3}}

What is expand (4+t^2)(dy)/(dt) ?
The solution to expand (4+t^2)(dy)/(dt) is 4(dy)/(dt)+t^2(dy)/(dt)