differentiation of this equation
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y = cosx³.sin²( x^5)
differentiate wrt x
dy/dx = cosx³.d( sin²(x^5)/dx + sin²(x^5)d(cosx³)/dx
= cosx³.{2sin(x^5).cos(x^5).5x⁴}+ sin²(x^5).{ -sinx³.3x²}
=5x⁴. cosx³.sin(2x^5) - 3x²sinx³.sin²(x^5)
[ note :- 2sin(x^5).cos(x^5) = sin(2x^5) ]
differentiate wrt x
dy/dx = cosx³.d( sin²(x^5)/dx + sin²(x^5)d(cosx³)/dx
= cosx³.{2sin(x^5).cos(x^5).5x⁴}+ sin²(x^5).{ -sinx³.3x²}
=5x⁴. cosx³.sin(2x^5) - 3x²sinx³.sin²(x^5)
[ note :- 2sin(x^5).cos(x^5) = sin(2x^5) ]
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