What is the derivative of 4x?

The derivative of a function measures how that function changes as its input changes. For the function \( f(x) = 4x \), we can find the derivative using basic rules of differentiation.

Calculating the Derivative

In this case, the function is a linear equation. The derivative of \( ax \) (where \( a \) is a constant) is simply \( a \). Therefore:

• For \( f(x) = 4x \), the derivative \( f'(x) \) is \( 4 \).

Final Result

So, the derivative of \( 4x \) is 4. This means that for every unit increase in \( x \), the value of the function \( 4x \) increases by 4 units.