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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Choose the correct alternative: If y = (1-x)2x2, then dddydx is

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प्रश्न

Choose the correct alternative:

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

विकल्प

  • `2/x^2 + 2/x^3`

  • `- 2/x^2 + 2/x^3`

  • `- 2/x^2 - 2/x^3`

  • `- 2/x^3 + 2/x^2`

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उत्तर

`- 2/x^3 + 2/x^2`

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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 10.5 [पृष्ठ १७८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 15 | पृष्ठ १७८

संबंधित प्रश्न

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

y = sin x + cos x


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:

y = `(tanx - 1)/secx`


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

y = e-x . log x


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

y = sin x


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


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


Differentiate the following:

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


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


Differentiate the following:

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


Find the derivatives of the following:

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


Find the derivatives of the following:

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


Find the derivatives of the following:

x = `"a" cos^3"t"` ; y = `"a" sin^3"t"`


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x = a (cos t + t sin t); y = a (sin t – t cos t)


Find the derivatives of the following:

`cos^-1 ((1 - x^2)/(1 + x^2))`


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:

Find the derivative with `tan^-1 ((sinx)/(1 + cos x))` with respect to `tan^-1 ((cosx)/(1 + sinx))`


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) = `{{:(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


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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