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`        if y=sinx ,then show that d^2(cos^7x)/dy^2 is equal to 35cos^3x – 42cos^5x`
5 years ago

Rinkoo Gupta
80 Points
```							y=sinxso dy/dx =cosxlet z=cos7xdz/dy=7cos6x.(-sinx).dx/dy=-7cos6xsinx.(1/cosx)=-7cos5xsinxd2z/dy2=d/dy(dz/dy)      =d/dx(dz/dy).dx/dy      =d/dx(-7cos5xsinx).(1/cosx)=-7{cos5x.cosx+sinx.(-5cos4xsinx)}.(1/cosx)=-7cos5x+35cos3xsin2x=35cos3x(1-cos2x)-7cos5x=35cos3x-35cos5x-7cos5x=35cos3x-42cos5xThanks & RegardsRinkoo GuptaAskIITians Faculty
```
5 years ago
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