Find the Derivative - d/dx y=-3x^3

Problem

d()/d(x)*(−3*x3)

Solution

1. Identify the function to be differentiated, which is y=−3*x3

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

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

4. Multiply the constant coefficient by the result of the power rule: −3⋅3*x(3−1)

5. Simplify the expression to find the final derivative.

Final Answer

(d(−)*3*x3)/d(x)=−9*x2

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