What is $\frac{d y}{d x}$ of $X Y$ ?

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Solution

$\frac{d y}{d x}$ of $X Y$ :
The derivative is the instantaneous rate of change of a function with respect to a variable.
If the product of two functions is given, the product rule is used.
The product rule is $\frac{d}{d x} (f \cdot g) = f \cdot \frac{d}{d x} (g) + g \cdot \frac{d}{d x} (f)$ , where $f, g$ are functions of $x .$
$\Rightarrow \frac{d}{d x} (X Y) = X \cdot \frac{d}{d x} (Y) + Y \cdot \frac{d}{d x} (X)$

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What is dydx of XY?

dydx of XY:The derivative is the instantaneous rate of change of a function with respect to a variable.If the product of two functions is given, the product rule is used.The product rule is ddxf·g=f·ddxg+g·ddxf, where f,gare functions of x. ⇒ddxXY=X·ddxY+Y·ddxX

What is $\frac{d y}{d x}$ of $X Y$ ?