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Differentiate the function with respect to x. cos (sin x) - Mathematics

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प्रश्न

Differentiate the function with respect to x.

cos (sin x)

योग

उत्तर

Let, y = cos (sin x)

Let, sin x = t

∴ y = cos t

`dy/dt = - sin t, dt/dx = cos x`

`∴ dy/dx = dy/dt * dt/dx`

= - sin t · cos x

= - sin t cos x
= - sin (sin x)cos x

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Continuity and Differentiability - Exercise 5.2 [पृष्ठ १६६]

APPEARS IN

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

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