A person x inches tall has a pulse rate approximately given by the function. y=610x^-1/2 The instantaneous rate of change of the pulse rate for a person that is 34 inches tall is?
I know that to find this you will need to find the derivative of the original equation which I thought you could solve with the power rule to get (-1/2)(610x^-1.5) but I am not sure that this is correct. Please help

Question

A person x inches tall has a pulse rate approximately given by the function. y=610x^-1/2 The instantaneous rate of change of the pulse rate for a person that is 34 inches tall is?
I know that to find this you will need to find the derivative of the original equation which I thought you could solve with the power rule to get (-1/2)(610x^-1.5) but I am not sure that this is correct. Please help

anonymous · Answer

$$\frac{ dy }{ dx }=610(-1/2)x^{-3/2}$$
just plug x=34