1.

Differentiate o sinarRespect to awith

Answer»

d/dx(sin2x)

= d/dx(2sinxcosx)

Use product rule of

= 2[sinx d/dx(cosx) + cosx d/dx(sinx)]

= 2[sinx(−sinx) + cosx(cosx)]

= 2(cos^2x−sin^2x)

Trigonometric identity

cos^2x−sin^2x = cos2x

= 2(cos2x)



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