Question

By considering, but not calculating, the slope of the tangent line, give the derivative of the following. Complete parts a through e a ( f(x)=7 ) ?

Answer 1

The derivative of the constant function f(x) = 7 is 0 because the slope of the tangent line to a constant function is always horizontal, indicating no change.

Step-by-step explanation:

When considering the function f(x) = 7, which is a constant function, the slope of the tangent line at any point on the graph is horizontal. In mathematics, the slope of a horizontal line is 0, because there is no change in the y-value as the x-value changes. Therefore, the derivative of a constant function is 0.