Question

If a is a simple constant, what is the derivative of y = xa?​

Answer 1

Answer:

The derivative of any constant term is 0, according to our first rule. This makes sense since slope is defined as the change in the y variable for a given change in the x variable.

Answer 2

Answer:

the derivative of y = ax is 'a'

.Explanation:

Derivative of a function is the amount of change in 'y' as the domain 'x' changes.

Here 'a' is a constant.

Y changes a unit as X changes by 1 unit.

∴$\frac{dy}{dx}$=$\frac{d(ax)}{dx}$=a$\frac{d(x)}{dx}$=a(1)

As the derivative of x is 1.

Also 'a' is a constant and hence a constant can come out of the derivatve function when it is in multiplication with the function f(x).

∴$\frac{dy}{dx}$=a.