मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

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 - Mathematics

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • 0

  • 2

  • 3

  • 4

MCQ
Advertisements

उत्तर

3

shaalaa.com
Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 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
पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 17 | 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 = `x/(sin x + cosx)`


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 = (x2 + 5) log(1 + x) e–3x 


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

y = sin x


Differentiate the following:
y = cos (tan x)


Differentiate the following:
y = sin (ex)


Differentiate the following:

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


Differentiate the following:
y = e–mx 


Differentiate the following:

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


Differentiate the following:

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


Differentiate the following:

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


Find the derivatives of the following:

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


Find the derivatives of the following:

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


Find the derivatives of the following:

`tan^-1 ((cos x + sin x)/(cos x - sin x))`


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×