Find the Derivative - d/dx f(x)=4x

Problem

d()/d(x)*4*x

Solution

1. Identify the function to be differentiated, which is a linear term of the form c*x

2. Apply the power rule for differentiation, which states that d(xn)/d(x)=n*x(n−1)

3. Apply the constant multiple rule which allows the constant 4 to be moved outside the derivative.

4. Differentiate the variable x with respect to x which results in 1

5. Multiply the constant by the result of the derivative.

Final Answer

(d(4)*x)/d(x)=4

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