हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Choose the correct alternative: If x = a sin θ and y = b cos θ, then ddd2ydx2 is - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

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

विकल्प

  • `"a"/"b"^2 sec^2 theta`

  • `- "b"/"a" sec^2 theta`

  • `- "b"/"a"^2 sec^3 theta`

  • `- "b"^2/"a"^2 sec^3 theta`

MCQ

उत्तर

`- "b"/"a"^2 sec^3 theta`

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 12 | 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:

y = `tan x/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 = e-x . log x


Differentiate the following:
y = `root(3)(1 + x^3)`


Differentiate the following:

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


Differentiate the following:

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


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


Differentiate the following:
y = sin2(cos kx)


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


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


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


Find the derivatives of the following:

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


Find the derivatives of the following:

Find the derivative of `sin^-1 ((2x)/(1 + x^2))` with respect to `tan^-1 x`


Find the derivatives of the following:

If y = sin–1x then find y”


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"`


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×