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

Problem

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

Solution

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

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

4⋅2*x(2−1)

5. Simplify the expression to find the final derivative.

8*x1=8*x

Final Answer

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

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