d/dx (uv)
The expression d/dx (uv) represents the derivative of the product of two functions u(x) and v(x) with respect to x
The expression d/dx (uv) represents the derivative of the product of two functions u(x) and v(x) with respect to x. To find this derivative, we can use 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 times the second function, plus the first function times the derivative of the second function.
In mathematical notation, the product rule can be written as follows:
d/dx (u(x) * v(x)) = u'(x) * v(x) + u(x) * v'(x)
Here, u'(x) represents the derivative of u(x) with respect to x, and v'(x) represents the derivative of v(x) with respect to x.
So, applying the product rule to the expression d/dx (uv), we have:
d/dx (uv) = u'(x) * v(x) + u(x) * v'(x)
This formula allows us to find the derivative of any product of two functions.
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