Question 2: Find an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together.

$$ y = 8\sqrt{x}, \, (16,32) $$

• Solution:

Question 4: Find the slope of the function’s graph at the given point. Then find an equation for the line tangent to the graph there.

$$ f(x)=x^2-5, \, (-4,11) $$

Solution:

• What is the slope of the function’s graph at the given point?
• Find an equation for the line tangent to the graph at the given point.

Question 8: Find the slope of the graph of the function $f(x)=\sqrt{2x}$ at (2,2). Then find an equation of the line tangent to the graph

• Solution: