हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा 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

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

विकल्प

  • 0

  • 2

  • 3

  • 4

MCQ
Advertisements

उत्तर

3

shaalaa.com
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 17 | पृष्ठ १७८

संबंधित प्रश्न

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:

g(t) = t3 cos t


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

y = `sinx/x^2`


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 = (x2 + 5) log(1 + x) e–3x 


Differentiate the following:

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


Differentiate the following:
y = (2x – 5)4 (8x2 – 5)–3 


Differentiate the following:
y = tan (cos x)


Differentiate the following:

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


Differentiate the following:
y = (1 + cos2)6


Find the derivatives of the following:
`sqrt(x) = "e"^((x - y))`


Find the derivatives of the following:
xy = yx


Find the derivatives of the following:

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


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:

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


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:

`"d"/("d"x) (2/pi sin x^circ)` is


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×