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 the variable x
The expression d/dx [uv] represents the derivative of the product of two functions, u(x) and v(x), with respect to the variable x. To compute this derivative, we can use the product rule of differentiation.
The product rule states that if we have two functions, u(x) and v(x), the derivative of their product, uv, with respect to x is given by:
d/dx [uv] = u * dv/dx + v * du/dx
Here, du/dx represents the derivative of u(x) with respect to x and dv/dx represents the derivative of v(x) with respect to x.
Therefore, applying the product rule to d/dx [uv], we have:
d/dx [uv] = u * dv/dx + v * du/dx
This formula allows us to find the derivative of the product of any two functions.
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