Applying the Power Rule to Differentiate 3x^2 | Step-by-Step Guide and Explanation

I would use the power rule for 3x^2

To differentiate the expression 3x^2 using the power rule, we can apply the following steps:

Step 1: Identify the exponent and coefficient of the term

To differentiate the expression 3x^2 using the power rule, we can apply the following steps:

Step 1: Identify the exponent and coefficient of the term.
In the given expression, the coefficient is 3 and the exponent is 2.

Step 2: Multiply the term by the exponent and reduce the exponent by 1.
Using the power rule, we can differentiate 3x^2 as follows:
2 * 3x^2^(2-1) = 6x^(2-1) = 6x.

Therefore, the derivative of 3x^2 using the power rule is 6x.

The power rule states that for any term of the form ax^n, where “a” is a constant coefficient and “n” is a nonnegative integer exponent, the derivative is given by n * ax^(n-1). This rule allows us to differentiate polynomials efficiently by using the exponent as the coefficient of the term and reducing the exponent by 1.

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