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Find the derivatives of the following functions with respect to corresponding independent variables: g(t) = t3 cos t

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प्रश्न

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

g(t) = t3 cos t

योग
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उत्तर

g(t) = t3 cos t

(i.e.) u = t3 and v = cos t

Let u’ = `("d"u)/("d"x)` and v’ = `("d"v)/("d"x)` = (– sin t)

g'(t) = uv’ + vu’

g'(t) = t3 (– sin t) + cos t (3t2)

= – t3 sin t + 3t2 cos t

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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 5 | पृष्ठ १६०

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