Find the slope of the tangent to the curve y=2Sin²(3x) at x= pie/6.

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Find the slope of the tangent to the curve y=2Sin²(3x) at x= pie/6.

Priyashi Kumari 2nd Jun, 2021

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Answer (1)

Palak kumari 2nd Jun, 2021

Hi there,

Y=sin²(3x)

dy/dx =2*2Sin(3x)Cos(3x)*3

dy/dx =6*2Sin(3x)Cos(3x)

dy/dx = 6*Sin6x

Now,(dy/dx)at x=pie/6 == 6*Sinpie=0

Hope it helps!

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