V3 and V3 at 2' 2

Write down an equation that relates the two quantities described. Then use implicit differentiation to obtain a relationship between the rates at which the quantities change over time. The volume V and radius r of a cylinder with a fixed height of 11 units.

1. Find the equation of the line tangent to the curve y = Vx at the point (4,2). Hint: Write vx = x1/2 and apply the power rule. Include a screenshot or sketch of the graph of the curve and the tangent line together on the same graph. Desmos.com is a nice, free graphing tool. %3D

Use implicit differentiation to find the equation of the tangent line to the curve xy³ + xy = 2 at the point (1, 1). The equation of this tangent line can be written in the form y = mx + b where m is where b is Question Help: Message instructor Submit Question Jump to Answer and