Find the Derivative - d/dx f(x)=4x^2

Problem

(d(4)*x2)/d(x)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=4*x2

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(xn)/d(x)=n*x(n−1)

4. Multiply the constant 4 by the result of the power rule derivative.

4⋅2*x(2−1)

5. Simplify the expression to find the final derivative.

8*x1

Final Answer

(d(4)*x2)/d(x)=8*x

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