Differentiate 𝑦=13⋅𝑥8

To differentiate the function y = 13x^8, we use the power rule for differentiation. The power rule states that the derivative of x^n is n*x^(n-1).

Step 1: Identify the base (x) and the exponent (8) in the function.

Step 2: Apply the power rule. Multiply the entire function by the exponent (8), and then subtract 1 from the exponent.

So, the derivative of y = 13x^8 is:

dy/dx = 8 * 13x^(8-1)

Step 3: Simplify the expression.

dy/dx = 104x^7

So, the derivative of y = 13x^8 is dy/dx = 104x^7.