मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Find the derivatives of the following: abx2a2+y2b2 = 1

Advertisements
Advertisements

प्रश्न

Find the derivatives of the following:

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

बेरीज
Advertisements

उत्तर

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

`(2x)/"a"^2 + (2y)/"b"^2 ("d"y)/("d"x)` = 0

`(2y)/"b"^2 ("d"y)/("d"x) = - (2x)/"a"^2`

`("d"y)/("d"x) = - (2x)/"a"^2 xx "b"^2/(2y)`

`("d"y)/("d"x) = - "b"^2/"a"^2 x/y`

shaalaa.com
Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.4 [पृष्ठ १७६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.4 | Q 6 | पृष्ठ १७६

संबंधित प्रश्‍न

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:

g(t) = t3 cos t


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 = x sin x cos x


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

y = log10 x


Differentiate the following:
y = sin (ex)


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


Differentiate the following:
y = e–mx 


Differentiate the following:

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


Find the derivatives of the following:

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


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:

sin-1 (3x – 4x3)


Find the derivatives of the following:

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


Choose the correct alternative:

If y = `1/4 u^4`, u = `2/3 x^3 + 5`, then `("d"y)/("d"x)` 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:
If f(x) = x tan-1x then f'(1) is


Choose the correct alternative:

`"d"/("d"x) ("e"^(x + 5log x))` is


Choose the correct alternative:

If f(x) = `{{:(2"a" - x,  "for"  - "a" < x < "a"),(3x - 2"a", "for"  x ≥ "a"):}` , then which one of the following is true?


Choose the correct alternative:

The number of points in R in which the function f(x) = |x – 1| + |x – 3| + sin x is not differentiable, is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×