find the length of the curve  y = 2/3(x^2 +1)^(3/2) from x=3 to x=6

Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.

YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through the point (1,2).

Explain the relationship between the slope and the derivative of fx at x=a.