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Choose the correct alternative: If y = cos (sin x2), then dddydx at x = π2 is

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प्रश्न

Choose the correct alternative:

If y = cos (sin x2), then `("d"y)/("d"x)` at x = `sqrt(pi/2)` is

पर्याय

  • – 2

  • 2

  • `- 2 sqrt(pi/2)`

  • 0

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उत्तर

0

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Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [पृष्ठ १७७]

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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 6 | पृष्ठ १७७

संबंधित प्रश्‍न

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

f(x) = x sin x


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y = cos x – 2 tan x


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g(t) = t3 cos t


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

y = `sinx/(1 + cosx)`


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

y = `sinx/x^2`


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y = e-x . log x


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y = (x2 + 5) log(1 + x) e–3x 


Differentiate the following:
y = tan 3x


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


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h(t) = `("t" - 1/"t")^(3/2)`


Differentiate the following:

y = `x"e"^(-x^2)`


Differentiate the following:

y = `"e"^(3x)/(1 + "e"^x`


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


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`sqrt(x^2 + y^2) = tan^-1 (y/x)`


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tan (x + y) + tan (x – y) = x


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`tan^-1sqrt((1 - cos x)/(1 + cos x)` 


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


Find the derivatives of the following:

`tan^-1 ((cos x + sin x)/(cos x - sin x))`


Find the derivatives of the following:

Find the derivative of `sin^-1 ((2x)/(1 + x^2))` with respect to `tan^-1 x`


Find the derivatives of the following:

If y = etan–1x, show that (1 + x2)y” + (2x – 1)y’ = 0


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