Find the Derivative - d/dx 5x^2

Problem

d of 5 x squared over d of x

Solution

1. Identify the constant and the power of x in the expression 5 x squared

2. Apply the constant multiple rule, which states that d of c f with hook of x over d of x equals c d of f with hook of x over d of x

3. Apply the power rule, which states that d x to the n-th power over d x equals n x raised to the n minus 1 power

4. Multiply the constant 5 by the exponent 2 and subtract 1 from the exponent.

5. Simplify the resulting expression.

Final Answer

d of 5 x squared over d of x equals 10 x

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