Test:46 QNo:9

find d²y/dx² given sin(x+y)=x

3 Answers

sin(x+y)=x.find double derivative.

my answer is the same as aasish:-

x (1-x²)^-3/2.

as
sin(x+y) = x
thus, (x+y) = sin^-1 x.
taking derivative, we get,

1+dy/dx = 1/√1-x².

again, differentiating, we get,

d²y/dx² = x (1-x²)^-3/2.

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