Find the Derivative - d/dx f(x)=5x^2

Problem

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

Solution

1. Identify the function as a power function multiplied by a constant coefficient.

2. Apply the constant multiple rule, which states that the derivative of a constant times a function is the constant times the derivative of the function.

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 decrease the exponent by 1

Final Answer

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

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