Q24 of 354 Page 12

Find , when
y = sin x sin 2x sin 3x sin 4x

Let y = sin x sin 2x sin 3x sin 4x

Take log both sides:

⇒ log y = log (sin x sin 2x sin 3x sin 4x)

⇒ log y = log (sin x ) + log (sin 2x) + log (sin 3x) + log (sin 4x)

Differentiating with respect to x:

Find , when

y = e^3x sin 4x 2^x

Find , when

y = x^{sin x} + (sin x)^x

Find , when

y = (sin x)^{cos x} + (cos x)^{sin x}

Find , wheny = sin x sin 2x sin 3x sin 4x