The Slope of a Tangent Line (3.2.1)

Question 1

How do you find the slope of a tangent line?

Answer 1

• To find the slope of a tangent line, evaluate the derivative at the point of tangency.

Question 2

• The derivative of f at x is given by (see below) provided the limit exists.

f’(x) = lim (delta x -> 0)

(f(x + delta x) - f(x))/delta x

Answer 2

• The derivative of f at x is given by (see below) provided the limit exists.

f’(x) = lim (delta x -> 0)

(f(x + delta x) - f(x))/delta x