Find the Derivative - d/dx ax

Problem

(d(a)*x)/d(x)

Solution

1. Identify the variable of differentiation and the constant. In the expression a*x x is the variable and a is treated as a constant.

2. Apply the constant multiple rule, which states that the derivative of a constant times a function is the constant times the derivative of the function.

(d(a)*x)/d(x)=ad(x)/d(x)

3. Apply the power rule to the term x Since the derivative of x with respect to x is 1 the expression simplifies.

d(x)/d(x)=1

4. Multiply the constant a by the result of the derivative.

a⋅1=a

Final Answer

(d(a)*x)/d(x)=a

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