हिंदी

Differentiate the function with respect to x: cos (a cos x + b sin x), for some constant a and b.

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प्रश्न

Differentiate the function with respect to x:

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

योग
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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 (−sin x) + 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]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.9 | Q 8 | पृष्ठ १९१

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