Question

Use the rules of differentiation to find the derivative of the function.
y = x¹⁸
y' = ?

Answer 1

The derivative of y = x^18 is 18x^17.

Step-by-step explanation:

The given function is y = x18. To find the derivative of this function, we can use the power rule of differentiation. According to the power rule, if we have a function of the form y = xn, where n is a constant, the derivative of that function is y' = nx(n-1).

In this case, n = 18, so the derivative of y = x18 is y' = 18x(18-1) = 18x17.