Find the Derivative - d/d@VAR f(x)=9x^3

Problem

d()/d(x)*9*x^3

Solution

1. Identify the function to be differentiated, which is ƒ(x)=9*x^3

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

3. Multiply the constant coefficient 9 by the exponent 3

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

5. Simplify the resulting expression.

Final Answer

(d(9)*x^3)/d(x)=27*x^2

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