English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: If f(x) = ififif{x-5 if x≤14x2-9 if 1<x<23x+4 if x≥2 , then the right hand derivative of f(x) at x = 2 is

Advertisements
Advertisements

Question

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

Options

  • 0

  • 2

  • 3

  • 4

MCQ
Advertisements

Solution

3

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 17 | 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:

y = `(tanx - 1)/secx`


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

y = sin x0 


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


Differentiate the following:

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


Differentiate the following:

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


Find the derivatives of the following:

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


Find the derivatives of the following:

sin-1 (3x – 4x3)


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)`


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 = sin–1x then find y”


Find the derivatives of the following:

If y = `(sin^-1 x)/sqrt(1 - x^2)`, show that (1 – x2)y2 – 3xy1 – y = 0


Choose the correct alternative:

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


Choose the correct alternative:

If x = a sin θ and y = b cos θ, then `("d"^2y)/("d"x^2)` is


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×