Question

For the following functions, use Equation 3.4 to find the slope of the tangent line m tan=f ′(a), and

Answer 1

The slope of the tangent line at a point on a curve can be found using Equation 3.4, which states that the slope of the tangent line is equal to the derivative of the function at that point.

Step-by-step explanation:

The slope of the tangent line at a point on a curve can be found using Equation 3.4, which states that the slope of the tangent line mtan is equal to the derivative of the function f'(a) at that point.

In this case, the point of interest is t = 25 s on the curve. To find the slope of the tangent line, we need to find the derivative of the function at that point, f'(25).

Look at Figure 2.49(a) for an illustration of the slope of the curve and the tangent line at t = 25 s.