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If y=tanxcos^2xthen (dy)/(dx) will be.....

If `y=tanxcos^2x`then `(dy)/(dx)` will be..

Text Solution

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`y=tanxcos^(2)x`
`(dy)/(dx)=tanx(d)/(dx)(cos^(2)x)+cos^(2)x(d)/(dx)(tanx)`
`=tanx(2cosx)(-sinx)+cos^(2)xsec^(2)x`
`=1-2sin^(2)x`
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