Find the Derivative - d/dx 3x^4

Problem

(d(3)*x4)/d(x)

Solution

1. Identify the expression as a power function multiplied by a constant coefficient.

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.

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

4. Multiply the constant coefficient 3 by the exponent 4 and subtract 1 from the exponent.

3⋅4=12

4−1=3

Final Answer

(d(3)*x4)/d(x)=12*x3

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