related rates???

2 ⤊

dx/dt is 2 centimeters per second. find dy/dt for the function y=x^2+1
at the values x= -1,0,1,3

2006-10-29 16:49:56 · 3 answers · asked by sandyclaws08 2 in Science & Mathematics ➔ Mathematics

3 answers

dydt = (dy/dx)(dx/dt)
y = x^2 + 1
dy/dx=2x
dy/dt = (2x)(dx/dt) = (2x)*(2)=4x

At x=-1, dy/dt = -4
At x=0, dy/dt = 0
At x=1, dy/dt = 4
At x=3, dy/dt = 12

2006-10-29 23:57:32 · answer #1 · answered by Truth Seeker 3 · 1⤊ 0⤋

dy/dx=2x
at x=-1 y'=-2
at x=0 y'=0
at x=1 y'=2
at x=3 y'=6

2006-10-30 00:54:17 · answer #2 · answered by raj 7 · 1⤊ 1⤋

dydt = (dy/dx)(dx/dt)
y = x^2 + 1
dy/dt = 2xdx/dt = 4x

2006-10-30 01:00:44 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋