Find the Derivative - d/dx 4x^4

Problem

(d(4)*x4)/d(x)

Solution

1. Identify the constant and the power of x in the expression 4*x4

2. Apply the constant multiple rule, which states that the derivative of c⋅ƒ(x) is c⋅d(ƒ(x))/d(x)

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

4. Multiply the constant coefficient by the exponent brought down from the power rule.

5. Simplify the expression to find the final derivative.

Final Answer

(d(4)*x4)/d(x)=16*x3

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