Advertisements
Advertisements
प्रश्न
Find the derivatives of the following:
`x^2/"a"^2 + y^2/"b"^2` = 1
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`
APPEARS IN
संबंधित प्रश्न
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:
Draw the function f'(x) if f(x) = 2x2 – 5x + 3
Differentiate the following:
y = cos (a3 + x3)
Differentiate the following:
f(x) = `x/sqrt(7 - 3x)`
Differentiate the following:
y = tan (cos x)
Differentiate the following:
y = `sqrt(x +sqrt(x)`
Find the derivatives of the following:
(cos x)log x
Find the derivatives of the following:
tan (x + y) + tan (x – y) = x
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:
x = `(1 - "t"^2)/(1 + "t"^2)`, y = `(2"t")/(1 + "t"^2)`
Find the derivatives of the following:
Find the derivative of sin x2 with respect to x2
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 = etan–1x, show that (1 + x2)y” + (2x – 1)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) ("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?
