The Chain Rule | Derivative of kf(x) with respect to x explained

d/dx [kf(x)]=

To find the derivative of kf(x) with respect to x, we use the chain rule

To find the derivative of kf(x) with respect to x, we use the chain rule. The chain rule states that if we have a composite function, f(g(x)), then the derivative is given by the product of the derivative of the outer function f(g(x)) with respect to its argument g(x) multiplied by the derivative of the inner function g(x) with respect to x.

In the case of kf(x), we treat k as a constant and f(x) as the inner function. So, using the chain rule, we have:

d/dx [kf(x)] = k * d/dx [f(x)]

Here, d/dx [f(x)] represents the derivative of f(x) with respect to x.

In summary, the derivative of kf(x) with respect to x is k times the derivative of f(x) with respect to x.

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