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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:

g(t) = t3 cos t


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

g(t) = 4 sec t + tan t


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

y = ex sin x


Differentiate the following:
y = `root(3)(1 + x^3)`


Differentiate the following:

f(t) = `root(3)(1 + tan "t")`


Differentiate the following:

y = `(sin^2x)/cos x`


Differentiate the following:
y = sin2(cos kx)


Differentiate the following:
y = `sqrt(x +sqrt(x)`


Differentiate the following:
y = `"e"^(xcosx)`


Find the derivatives of the following:
y = `x^(cosx)`


Find the derivatives of the following:
y = `x^(logx) + (logx)^x`


Find the derivatives of the following:

(cos x)log x


Find the derivatives of the following:
tan (x + y) + tan (x – y) = x


Find the derivatives of the following:

If u = `tan^-1  (sqrt(1 + x^2) - 1)/x` and v = `tan^-1 x`, find `("d"u)/("d"v)`


Choose the correct alternative:

The differential coefficient of `log_10 x` with respect to `log_x 10` is


Choose the correct alternative:

If f(x) = `{{:(2"a" - x,  "for"  - "a" < x < "a"),(3x - 2"a", "for"  x ≥ "a"):}` , then which one of the following is true?


Choose the correct alternative:

If f(x) = `{{:("a"x^2 - "b"",", - 1 < x < 1),(1/|x|",",  "elsewhere"):}` is differentiable at x = 1, then


Choose the correct alternative:

The number of points in R in which the function f(x) = |x – 1| + |x – 3| + sin x is not differentiable, is


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