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Differentiate the following w.r.t. x: exsinx - Mathematics

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प्रश्न

Differentiate the following w.r.t. x:

`e^x/sinx`

योग

उत्तर

Let,`e^x/sin x`

Differentiating both sides with respect to x,

`dy/dx = (sin x d/dx e^x - e^x d/dx sin x)/(sin^2 x)`

`= (sin x  e^x - e^x . cos x)/(sin^2 x)`

`= (e^x (sin x - cos x))/(sin^2x), xne xpi, n inZ.`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Continuity and Differentiability - Exercise 5.4 [पृष्ठ १७४]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.4 | Q 1 | पृष्ठ १७४

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