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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Find the derivatives of the following functions with respect to corresponding independent variables: y = sinxx2

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प्रश्न

Find the derivatives of the following functions with respect to corresponding independent variables:

y = `sinx/x^2`

योग
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उत्तर

y = `sinx/x^2`

`("d"y)/("d"x) = (x^2(cos x) - sin x(2x))/((x^2))`

= `(x^2 cos x - 2x sin x)/x^4`

= `(x[x cos x - 2 sin x])/x^4`

`("d"y)/("d"x) = (x cos x - 2 sin x)/x^3`

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Differentiation Rules
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.2 [पृष्ठ १६०]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.2 | Q 12 | पृष्ठ १६०

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