Calculus Differentiation Rates and Derivatives Problem Solving
Solve various differentiation rate problems using calculus to find values for areas, volumes, and rates of change. Practice with different scenarios and equations to enhance your calculus skills.
Calculus Differentiation Rates and Derivatives Problem Solving
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Presentation Transcript
Chapter 4.1b More differentiation rate
Determine the following: • If A = r2, find dA/dt when r = 2 and dr/dt = 3. • If A = 2 rh, find dr/dt when r = 2, h = 4, dA/dt=16, and dh/dt = 2. • If r/3 = (h-4)/h, find dh/dt when r = 2, h = 12, and dr/dt = ½.
Determine the following: • If A2 = R2 + h2, find dA/dt when A = 10, R = 8, dR/dt = ½, and dh/dt = 1/3. • A particle moves along the curve y =(x2 + 1)1/2 in such a way that dx/dt = 4. Find dy/dt when x=3. • A particle is moving along the curve y = x2 in such a way that when x = ½, dx/dt = 2 ft/sec. Determine dy/dt.
