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Choose the correct alternative: If f(x) = ififif{x-5 if x≤14x2-9 if 1<x<23x+4 if x≥2 , then the right hand derivative of f(x) at x = 2 is

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प्रश्न

Choose the correct alternative:

If f(x) = `{{:(x - 5,  "if"  x ≤ 1),(4x^2 - 9,  "if"  1 < x < 2),(3x + 4,  "if"  x ≥ 2):}` , then the right hand derivative of f(x) at x = 2 is

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उत्तर

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shaalaa.com
Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [पृष्ठ १७८]

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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 10.5 | Q 17 | पृष्ठ १७८

संबंधित प्रश्‍न

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

f(x) = x – 3 sin x


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y = sin x + cos x


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y = `x/(sin x + cosx)`


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y = cosec x . cot x


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y = sin x


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y = tan 3x


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s(t) = `root(4)(("t"^3 + 1)/("t"^3 - 1)`


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y = tan (cos x)


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y = sin2(cos kx)


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`sqrt(x) = "e"^((x - y))`


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`x^2/"a"^2 + y^2/"b"^2` = 1


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`tan^-1 = ((6x)/(1 - 9x^2))`


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If y = sin–1x then find y”


Choose the correct alternative:

If y = `1/4 u^4`, u = `2/3 x^3 + 5`, then `("d"y)/("d"x)` is 


Choose the correct alternative:
If f(x) = x tan-1x then f'(1) is


Choose the correct alternative:

x = `(1 - "t"^2)/(1 + "t"^2)`, y = `(2"t")/(1 + "t"^2)` then `("d"y)/("d"x)` is


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