Calculus Related Rates BASIC Practice

If x and y are differentiable functions of t, and they are related by y=5x³ + 12

Find dy/dt   when x=3 and  dx/dt = -2 

dy/dt = ___

(Type in only the number, no space)

If x and y are differentiable functions of t, and they are related by y=-2x³ + 9

Find dy/dt   when x= -4 and  dx/dt = -3 

dy/dt = ___

(Type in only the number, no space)

If x and y are differentiable functions of t, and they are related by y= 12x² - 10

Find dy/dt   when x= 10 and  dx/dt = -2 

dy/dt = ___

(Type in only the number, no space)

If x and y are differentiable functions of t, and they are related by y= -15x - 20

Find dy/dt   when x=2 and  dx/dt = -3 

dy/dt = ___

(Type in only the number, no space)

If x and y are differentiable functions of t, and they are related by y= 2x² - 8x + 4

Find dy/dt   when x= 5 and  dx/dt = -1 

dy/dt = ___

(Type in only the number, no space)

If x and y are differentiable functions of t, and they are related by y= 6x + 3

Find dy/dt   when x=20 and  dx/dt = -5 

dy/dt = ___

(Type in only the number, no space)

If x and y are differentiable functions of t, and they are related by y= -3x² + 12x + 9

Find dy/dt   when x= -2 and  dx/dt = 3

dy/dt = ___

(Type in only the number, no space)

If x and y are differentiable functions of t, and they are related by

y= x³ + 2x²-20x + 8

Find dy/dt   when x= 3 and  dx/dt =4

dy/dt = ___

(Type in only the number, no space)

If x and y are differentiable functions of t, and they are related by

y= 2x⁴ - 5x² + 40x + 200

Find dy/dt when x= -2 and dx/dt = 5

dy/dt = ___

(Type in only the number, no space)