d/dx [uv]
The expression “d/dx [uv]” represents finding the derivative of the product of two functions, u(x) and v(x), with respect to x
The expression “d/dx [uv]” represents finding 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, which 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.
Mathematically, we can express this as:
d/dx [uv] = u(x) * v'(x) + v(x) * u'(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, to find the derivative of uv, you would need to know the specific expressions for u(x) and v(x). Once you have those expressions, you can differentiate each of them with respect to x to find u'(x) and v'(x). Finally, plug these values into the product rule formula to obtain the derivative of uv with respect to x.
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