मराठी

Differentiate tanx w.r.t. x - Mathematics

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प्रश्न

Differentiate `sqrt(tansqrt(x))` w.r.t. x

बेरीज
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उत्तर

Let y = `sqrt(tansqrt(x)`.

Using chain rule, we have

`("d"y)/("d"x) = 1/(2sqrt(tansqrt(x))) * "d"/("d"x) (tan sqrt(x))`

= `1/(2sqrt(tansqrt(x))) * sec^2 sqrt(x)  "d"/("d"x) (sqrt(x))`

= `1/(2sqrt(tansqrt(x))) (sec^2 sqrt(x)) (1/(2sqrt(x)))`

= `(sec^2 sqrt(x))/(4sqrt(x) sqrt(tansqrt(x))`

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पाठ 5: Continuity And Differentiability - Solved Examples [पृष्ठ ९३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 5 Continuity And Differentiability
Solved Examples | Q 7 | पृष्ठ ९३
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