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Differentiate the function with respect to x. sin (ax + b)

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प्रश्न

Differentiate the function with respect to x.

sin (ax + b)

योग
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उत्तर

Let, y = sin (ax + b)

Putting ax + b = t,

y = sin t,

`dy/dt` = cos t, `dt/dx = d/dx` (ax + b) = a

`therefore dy/dx = dy/dt xx dt/dx`

= cos t × a

= a cos t

= a cos (ax + b)

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

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.2 | Q 3 | पृष्ठ १६६

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