Find the Derivative - d/dx 6x^4

Problem

(d(6)*x4)/d(x)

Solution

1. Identify the constant and the power of x in the expression 6*x4

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

3. Multiply the constant coefficient 6 by the exponent 4

4. Subtract 1 from the original exponent to find the new exponent.

5. Simplify the resulting expression.

Final Answer

(d(6)*x4)/d(x)=24*x3

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