Find the Derivative - d/dx (3x)/4

Problem

d()/d(x)(3*x)/4

Solution

1. Identify the constant coefficient in the expression. The term (3*x)/4 can be rewritten as 3/4⋅x

2. Apply the constant multiple rule, which states that d()/d(x)*[c⋅ƒ(x)]=c⋅d(ƒ(x))/d(x)

3. Differentiate the variable x with respect to x using the power rule, where d(x)/d(x)=1

4. Multiply the constant 3/4 by the derivative of x

Final Answer

d()/d(x)(3*x)/4=3/4

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