English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: If f(x) = ab,,elsewhere{ax2-b,-1<x<11|x|, elsewhere is differentiable at x = 1, then - Mathematics

Advertisements
Advertisements

Question

Choose the correct alternative:

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

Options

  • a = `1/2`, b = `(-3)/2`

  • a = `(- 1)/2`, b = `3/2`

  • a = `- 1/2`, b = `- 3/2`

  • a = `1/2`, b = `3/2`

MCQ

Solution

a = `- 1/2`, b = ` -3/2`

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 179]

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 24 | Page 179

RELATED QUESTIONS

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

y = cos x – 2 tan x


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

y = ex sin x


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

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


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 = (x2 + 4x + 6)5


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


Differentiate the following:

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


Differentiate the following:
y = 4 sec 5x


Differentiate the following:

f(x) = `x/sqrt(7 - 3x)`


Differentiate the following:
y = sin2(cos kx)


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


Find the derivatives of the following:
xy = yx


Find the derivatives of the following:
(cos x)log x


Find the derivatives of the following:

Find the derivative of sin x2 with respect to x2 


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

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×