Find the Derivative - d/dx 6x^3

Problem

(d(6)*x3)/d(x)

Solution

1. Identify the constant and the power of x in the expression 6*x3

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 6 by the exponent 3 and decrease the exponent by 1

5. Simplify the resulting expression to find the final derivative.

Final Answer

(d(6)*x3)/d(x)=18*x2

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