Derivatives and Tangent Lines 2

An introduction to derivatives and tangent lines to curves.

• How do you find the slope of the tangent line of f(x) = x^2 - 3 at (1, -2)?
• How can you use limits and the formula for slope to find the exact slope of the tangent line at a point on a curve?
• If you have a graph y = f(x), how do you find the slope between (c, f(c)) and (c + h, f(c + h)) if c is very small?
• How do you derive the formal definition of a derivative?
• What is the formal definition of a derivative?
• What is the definition of a tangent line with slope m?
• How do you find the limit as h goes to 0 of (f(1 + h) - f(1))/h?
• How do you find the slope of a tangent line by using the formal limit definition of a derivative?
• What is the limit as h goes to 0 of 2 + h?