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Differentiate w.r.t. x the function: cos (a cos x + b sin x), for some constant a and b. - Mathematics

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प्रश्न

Differentiate w.r.t. x the function:

cos (a cos x + b sin x), for some constant a and b.

योग

उत्तर

Let, y = cos (a cos x + b sin x)

On differentiating with respect to x,

`dy/dx = -sin (a cos x + b sin x) [a (-sinx) + b cos x]`

`= -sin (a cos x + b sin x) [-a sin x + b cos x]`

`= (a sin x - b cos x) sin (a cos x + b sin x)`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Continuity and Differentiability - Exercise 5.9 [पृष्ठ १९१]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.9 | Q 8 | पृष्ठ १९१

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