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Differentiate the following:F(x) = (x3 + 4x)7

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प्रश्न

Differentiate the following:
F(x) = (x3 + 4x)7

योग
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उत्तर

F(x) = (x3 + 4x)7

[y = f(g(x)

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

F'(x) = `7(x^3 + 4x)^(7 - 1) "d"/("d"x) (x^3 + 4x)`

= 7(x3 + 4x)6 (3x2 + 4)

= 7(3x2 + 4)(x3 + 4x)6

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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 10.3 [पृष्ठ १६३]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.3 | Q 7 | पृष्ठ १६३

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