Find the Derivative - d/d@VAR f(x)=2x^3

Problem

d()/d(x)*2*x3

Solution

1. Identify the function to be differentiated, which is ƒ(x)=2*x3

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

3. Multiply the constant coefficient 2 by the exponent 3

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

5. Simplify the resulting expression 2⋅3*x(3−1) to get 6*x2

Final Answer

(d(2)*x3)/d(x)=6*x2

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