- #1
PrudensOptimus
- 641
- 0
y = x tan x
y' = tan x + x*sec^2(x)
y'' = sec^2(x) + d/dx (x*sec^2(x))
= ... + (d/dx(sec^2(x)) + sec^2(x))
= ... + (2secx + sec^2(x))
= 2sec^3 x + sec^4(x)
what did I do wrong?? in book it says y'' = something else.
y' = tan x + x*sec^2(x)
y'' = sec^2(x) + d/dx (x*sec^2(x))
= ... + (d/dx(sec^2(x)) + sec^2(x))
= ... + (2secx + sec^2(x))
= 2sec^3 x + sec^4(x)
what did I do wrong?? in book it says y'' = something else.