Find the Derivative - d/d@VAR f(x)=7x^2

Problem

d()/d(x)*7*x^2

Solution

1. Identify the function to be differentiated, which is ƒ(x)=7*x^2

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(x^n)/d(x)=n*x^(n−1)

4. Multiply the constant 7 by the result of the power rule derivative.

7⋅2*x^(2−1)

5. Simplify the expression to find the final derivative.

14*x^1

Final Answer

(d(7)*x^2)/d(x)=14*x

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