Respuesta :
Answer:
dy/dt=2
Step-by-step explanation:
y=√x
dy/dx=1/(2√x)
when x=9
dy/dx=1/(2√9)=1/(2×3)=1/6
dy/dx=(dy/dt)/(dx/dt)
1/6=(dy/dt)/12
dy/dt=1/6×12=2
The value of dy/dt at x = 9 is 2 if the y = √x and dx/dt = 12 after differentiation.
What is differentiation?
differentiation is the technique in which the derivative of y with respect to x.
We have:
y = √x
dy/dx = 1/(2√x)
dy/dx at x =9
= 1/6
dy/dx = (dy/dt)/(dx/dt)
1/6 = (dy/dt)/12
dy/dt = 1/6×12
dy/dt =2
Thus, the value of dy/dt at x = 9 is 2 if the y = √x and dx/dt = 12 after differentiation.
Learn more about the differentiation here:
brainly.com/question/2292940
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