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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Differentiate the following:y = sin2(cos kx)

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प्रश्न

Differentiate the following:
y = sin2(cos kx)

बेरीज
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उत्तर

y = sin2(cos kx)

y = f(g(x)

`("d"y)/("d"x)` = f'(g(x)) . g'(x)

`("d"y)/("d"x)` = 2 sin(cos kx) × cos(cos kx) × – sin kx × k × 1

`("d"y)/("d"x)` = sin(2 cos kx) × – k sin kx

`("d"y)/("d"x)` = – k sin kx . sin(2 cos kx)

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Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.3 [पृष्ठ १६४]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.3 | Q 23 | पृष्ठ १६४
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