Find the Derivative - d/dx y=5x

Problem

d()/d(x)*5*x

Solution

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

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 states that (d(c)*ƒ(x))/d(x)=cd(ƒ(x))/d(x)

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

5. Multiply the constant 5 by the result 1 to find the final derivative.

Final Answer

(d(5)*x)/d(x)=5

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