d/dx [kf(x)]=
To find the derivative of kf(x) with respect to x, we can use the chain rule
To find the derivative of kf(x) with respect to x, we can use the chain rule. The chain rule states that if we have a composite function g(f(x)), where g(u) is a function applied to u and f(x) is the inner function, then the derivative of g(f(x)) with respect to x is given by the product of the derivative of g(u) with respect to u and the derivative of f(x) with respect to x.
In the case of kf(x), we can consider k as a constant and treat f(x) as the inner function. Applying the chain rule, we have:
d/dx [kf(x)] = k * d/dx [f(x)]
This means that when we differentiate kf(x) with respect to x, we simply multiply the derivative of f(x) with respect to x by the constant k.
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