Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is

But remeber that the derivative of   is  

so,

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

its kinda hard to answer this when we dont have all the information that we need.

hello,

as   long as they add up to 180 its correct.