To take the derivative of a product of a constant k and a function f with respect to x, we use the product rule of differentiation which states:
d/dx (k×f) = k×d/dx (f) + f×d/dx (k)
Since k is a constant, its derivative with respect to x is zero. Therefore, the above equation simplifies to:
d/dx (k×f) = k×d/dx (f)
So, the derivative of k times f with respect to x is k times the derivative of f with respect to x.
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