Math, asked by Ravi5555, 1 year ago

Differentiate cosx²sinx²

Answers

Answered by kirtiprasanjenpchfhd
0
2cos^3 x * sin x - 2 sin ^3 x * cos x is the answer...

Ravi5555: ???
kirtiprasanjenpchfhd: as u know , d(u.v)/dx = du/dx. v+dv/dx. u
Answered by praneethks
1
differentiate with respect to x
 \frac{d}{dx} (  \frac{ 2\cos( {x}^{2} )  \sin( {x}^{2} )}{2} ) =  0.5\frac{d}{dx} (  \sin(2 {x}^{2} ) )
2SinACosA=Sin2A => we get
0.5 \cos(2 {x}^{2} )  \frac{d}{dx} (2 {x}^{2} ) = >
0.5(4x)( \cos(2 {x}^{2} ) ) = 2x \cos(2 {x}^{2} )
So the answer is
2x \cos(2 {x}^{2} )
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