SOLUTION: if dy/dx = sec(x) , dt/dx = tan(x) - 3, then ,(d ^2 y)/(dt ^2) =... when(x = 0

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: if dy/dx = sec(x) , dt/dx = tan(x) - 3, then ,(d ^2 y)/(dt ^2) =... when(x = 0      Log On


   



Question 1208214: if dy/dx = sec(x) , dt/dx = tan(x) - 3, then ,(d ^2 y)/(dt ^2) =... when(x = 0
Answer by mccravyedwin(406) About Me  (Show Source):
You can put this solution on YOUR website!
dy%2Fdt%22%22=%22%22expr%28%28dy%29%2F%28dx%29%29%2Fexpr%28%28dt%29%2F%28dx%29%29%22%22=%22%22sec%5E%22%22%28x%29%2F%28tan%5E%22%22%28x%29-3%29

d%5E2y%2Fdt%5E2%22%22=%22%22


Substitute x = 0

sec(0) = 1, tan(0) = 0

dx%2Fdt%22%22=%22%22tan%28x%29-3, substitute x=0, get -3,

So dt%2Fdx%22%22=%22%22-1%2F3 when x=0

%28%280-3%29%2A1%2A0%2A%28-1%2F3%29+-1%281%29%2A%28-1%2F3%29%29%2F%280-3%29%5E2%22%22=%22%221%2F27

Edwin