Find the Derivative - d/dx 5x^2

Problem

(d(5)*x2)/d(x)

Solution

1. Identify the constant and the power of x in the expression 5*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 5 by the exponent 2 and subtract 1 from the exponent.

5. Simplify the resulting expression.

Final Answer

(d(5)*x2)/d(x)=10*x

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