English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

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

Advertisements
Advertisements

Question

Choose the correct alternative:

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

Options

  • `2/x^2 + 2/x^3`

  • `- 2/x^2 + 2/x^3`

  • `- 2/x^2 - 2/x^3`

  • `- 2/x^3 + 2/x^2`

MCQ
Advertisements

Solution

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

shaalaa.com
Differentiation Rules
  Is there an error in this question or solution?
Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [Page 178]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 15 | Page 178

RELATED QUESTIONS

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

f(x) = x – 3 sin x


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

f(x) = x sin x


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

y = `(tanx - 1)/secx`


Differentiate the following:
y = (x2 + 4x + 6)5


Differentiate the following:

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


Differentiate the following:

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


Differentiate the following:

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


Differentiate the following:
y = `sqrt(1 + 2tanx)`


Differentiate the following:

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


Find the derivatives of the following:

(cos x)log x


Find the derivatives of the following:

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


Find the derivatives of the following:

If cos(xy) = x, show that `(-(1 + ysin(xy)))/(xsiny)`


Find the derivatives of the following:

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


Find the derivatives of the following:

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


Find the derivatives of the following:

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


Find the derivatives of the following:

If x = a(θ + sin θ), y = a(1 – cos θ) then prove that at θ = `pi/2`, yn = `1/"a"`


Find the derivatives of the following:

If sin y = x sin(a + y), the prove that `("d"y)/("d"x) = (sin^2("a" + y))/sin"a"`, a ≠ nπ


Choose the correct alternative:

If the derivative of (ax – 5)e3x at x = 0 is – 13, then the value of a is


Choose the correct alternative:

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


Choose the correct alternative:

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×