Find the Derivative - d/dx 9x^3

Problem

(d(9)*x3)/d(x)

Solution

1. Identify the constant and the power of x in the expression 9*x3

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

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

4. Multiply the constant 9 by the exponent 3 and decrease the exponent by 1

5. Simplify the resulting expression.

Final Answer

(d(9)*x3)/d(x)=27*x2

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