How to Differentiate the Function v = 13x^2?

To differentiate the function v = 13x², we’ll apply the power rule of differentiation. The power rule states that if you have a term in the form of axⁿ, its derivative will be n * a * x^(n-1).

In our function, v = 13x², we identify a = 13 and n = 2. Using the power rule, we differentiate the function as follows:

1. Multiply the exponent (n = 2) by the coefficient (a = 13): 2 * 13 = 26.

2. Subtract 1 from the exponent: 2 – 1 = 1.

Putting it all together, the derivative of the function v = 13x² is:

v’ = 26x¹ = 26x.

Therefore, the result of differentiating the function v = 13x² is:

26x