Find the Derivative - d/dx 8x^3

Problem

(d(8)*x^3)/d(x)

Solution

1. Identify the constant and the power of x in the expression 8*x^3

2. Apply the constant multiple rule, which states that (d(c)*ƒ(x))/d(x)=cd(ƒ(x))/d(x)

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

4. Multiply the constant 8 by the exponent 3 and decrease the exponent by 1

5. Simplify the resulting expression.

Final Answer

(d(8)*x^3)/d(x)=24*x^2

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