Power Rule Of Differentiation: Finding The Derivative Of Kx With Respect To X.

d/dx [kx]= *K is a constant

K

The given expression is:

(d/dx) [kx]

To differentiate the expression with respect to x, we can apply the power rule of differentiation that states that the derivative of x^n is n * x^(n-1).

In this case, we can rewrite the expression as:

d/dx (k * x^1)

Here, the power of x is 1, so we can apply the power rule:

= k * d/dx(x^1)

= k * 1 * x^(1-1)

= k * x^0

= k * 1 (Any number raised to the power of 0 is 1)

Hence, the derivative of kx with respect to x is simply k.

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