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If y = sin x + cos x then find d2y/dx2

Answer»

y = sin x + cos x 

differentiating w.r.t. x,

dy/dx = (d sin x/dx) + (d cos x/dx)

dy/dx = cos x - sin x

Again differentiating w.r.t x,

d2y/dx2 = (d cos x/dx) - (d sin x/dx)

d2y/dx2 = - sin x - cos x

d2y/dx2 = -(sin x + cos x)



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