मराठी

Differentiate the function with respect to x. sin(ax + b)/cos(cx + d)

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प्रश्न

Differentiate the function with respect to x.

`(sin (ax + b))/cos (cx + d)`

बेरीज
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उत्तर

Let, y = `(sin (ax + b))/(cos (cx + d))`

On differentiating with respect to x,

`dy/dx = d/dx (sin(ax + b)/cos(cx + d))`

= `(cos (cx + d) d/dx sin (ax + b) - sin (ax + b)d/dx cos (cx + d))/cos^2 (cx + d)`

= `(a cos (cx + d)cos (ax + b) + c sin (ax + b)sin (cx + d))/cos^2(cx + d)`

= a cos (ax + b) sec (cx + d) + c sin (ax + b) tan (cx + d) sec (cx + d)

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पाठ 5: Continuity and Differentiability - Exercise 5.2 [पृष्ठ १६६]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 5 Continuity and Differentiability
Exercise 5.2 | Q 5 | पृष्ठ १६६

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