Homework:

What is the slope of the tangent line to the graph of y = x^3 at the point (2,8) ?

12

Consider the parabola given by the equation y = x^2 + 4x - 5. At which point on the graph of this parabola is the slope of the tangent line equal to 10?

(3,16)

The line y = 2x - 9 is tangent to the parabola y = x^2 + ax + b at the point (4,-1). What are the values of a and b?

-3,-6 respectively.

circle with equation x^2 + y^2 = 25. Which is the equation of the tangent line to the circle at the point (3,4)?

3x + 4y = 25