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Find the derivative of x2 cosx. - Mathematics

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प्रश्न

Find the derivative of x2 cosx.

योग
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उत्तर

Let y = x2 cosx

Differentiating both sides with respect to x, we

`(dy)/(dx) = d/(dx)(x^2 cos x)`

= `x^2 d/(dx) (cos x) + cos x d/(dx) (x^2)`

= `x^2(- sinx) + cosx (2x)`

= `2x cosx - x^2 sinx`

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अध्याय 13: Limits and Derivatives - Solved Examples [पृष्ठ २३२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 13 Limits and Derivatives
Solved Examples | Q 13 | पृष्ठ २३२

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