d/dx (uv)
To differentiate the product of two functions u and v, also denoted as d/dx (uv), you can apply the product rule
To differentiate the product of two functions u and v, also denoted as d/dx (uv), you can apply the product rule. The product rule states that the derivative of the product of two functions is equal to the derivative of the first function multiplied by the second function, plus the first function multiplied by the derivative of the second function. Mathematically, this can be represented as:
d/dx (uv) = u * (d/dx(v)) + v * (d/dx(u))
In words, to differentiate the product of u and v, you differentiate u and leave v as it is, then you add the product of v with the derivative of u. This rule is used when both u and v are functions of x, and you want to find the derivative of their product with respect to x.
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