Question

Use the four-step process to find s'(x) and then find s'(1), s'(2), and s'(3).

s(x) = 9x - 5
s'(x) =__
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
s'(1) =__ (Type an integer or a simplified fraction.)
s'(2) =__(Type an integer or a simplified fraction.)
s'(3) = __(Type an integer or a simplified fraction.)

Answer 1

The derivative of the function s(x) = 9x - 5 is s'(x) = 9. Since the derivative is a constant, s'(1), s'(2), and s'(3) are all equal to 9.

Step-by-step explanation:

To find s'(x), which is the derivative of the function s(x) = 9x - 5, we use the power rule for differentiation. The derivative of 9x with respect to x is 9, and the derivative of a constant (-5) is 0. Therefore, the derivative of s(x) is s'(x) = 9.

To find the values of s'(1), s'(2), and s'(3), since s'(x) is a constant 9, the derivatives at these points will also be 9.

-s'(1) = 9

-s'(2) = 9

-s'(3) = 9