d/dx [kx]
To find the derivative of the function f(x) = kx, where k is a constant, we can use the power rule of differentiation
To find the derivative of the function f(x) = kx, where k is a constant, we can use the power rule of differentiation. The power rule states that the derivative of x^n with respect to x is equal to n*x^(n-1). In this case, the derivative of kx with respect to x is:
d/dx [kx] = k * d/dx [x]
Applying the power rule, the derivative of x with respect to x is equal to 1:
d/dx [x] = 1
This gives us:
d/dx [kx] = k * 1
Simplifying further, we get:
d/dx [kx] = k
Therefore, the derivative of kx with respect to x is simply the constant k.
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