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y=cos^2x. Prove that d^2y by dx^2 4y=2.

Sagot :

Answer:

Step-by-step explanation:

4y = 4 cos^2 x

dy/dx = -8 sin x cos x

d^2y / dx^2 = -8( sin x  *-sin x + cos x * cos x)

                    = -8(cos^2x - sin^2 x)

                    = 8(sin^2 x - cos^2 x)