Question

Find the slope of the tangent line for the function f(x)=x^2+4x-3 at the point (1,2)

Answer 1

m = 6

Explanation:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

f(x) = x² + 4x - 3

Point (1, 2)

Step 2: Find slope of tangent line

1. Find derivative of f(x): f'(x) = 2x + 4
2. Plug in x coordinate into derivative to find slope: f(1) = 2(1) + 4 = 6