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.

answer: c is correct, a regular pentagon

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation: