Advertisements
Advertisements
प्रश्न
Fill in the Blank.
If 3x2y + 3xy2 = 0, then `(dy)/(dx)` = ______.
Advertisements
उत्तर
If 3x2y + 3xy2 = 0, then `(dy)/(dx)` = −1.
Explanation:
3x2y + 3xy2 = 0
Dividing both sides by 3xy, we get
`(3x^2y)/(3xy) + (3xy^2)/(3xy) = 0/(3xy)`
x + y = 0
Differentiating both sides w.r.t. x, we get
`d/(dx) (x) + d/(dy) (y) = d/(dx) (0)`
∴ The derivative of x with respect to x is 1
`1 + (dy)/(dx) = 0`
∴ `(dy)/(dx) = - 1`
APPEARS IN
संबंधित प्रश्न
Find `dy/dx`, if `xsqrt(x) + ysqrt(y) = asqrt(a)`.
Find `dy/dx if x + sqrt(xy) + y = 1`
Find `"dy"/"dx"` if xey + yex = 1
Find `"dy"/"dx"` if ex+y = cos(x – y)
Find `"dy"/"dx"` if `e^(e^(x - y)) = x/y`
Find `"dy"/"dx"` if, y = `root(3)("a"^2 + "x"^2)`
Find `"dy"/"dx"` if, y = log(log x)
Find `"dy"/"dx"` if, y = log(ax2 + bx + c)
Find `"dy"/"dx"` if, y = `"e"^(5"x"^2 - 2"x" + 4)`
Choose the correct alternative.
If y = `sqrt("x" + 1/"x")`, then `"dy"/"dx" = ?`
If y = `root(5)((3"x"^2 + 8"x" + 5)^4)`, find `"dy"/"dx"`.
If y = `2/(sqrt(a^2 - b^2))tan^-1[sqrt((a - b)/(a + b)) tan x/2], "then" (d^2y)/dx^2|_{x = pi/2}` = ______
If f(x) = `(x - 2)/(x + 2)`, then f(α x) = ______
Derivative of ex sin x w.r.t. e-x cos x is ______.
Given f(x) = `1/(x - 1)`. Find the points of discontinuity of the composite function y = f[f(x)]
Differentiate `sqrt(tansqrt(x))` w.r.t. x
If f(x) = |cos x|, find f'`((3pi)/4)`
y = `sec (tan sqrt(x))`
y = `2sqrt(cotx^2)`
If y = em sin–1 x and (1 – x2) = Ay2, then A is equal to ______.
If y = 2x2 + a2 + 22 then `dy/dx` = ______.
Solve the following:
If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/dx`
Solve the following:
If y = `root5((3x^2 +8x+5)^4`,find `dy/dx`
Find `dy/dx` if, y = `e^(5x^2 -2x + 4)`
Solve the following:
If y = `root(5)((3"x"^2 + 8"x" + 5)^4)`, find `"dy"/"dx"`
If `y = root{5}{(3x^2 + 8x + 5)^4}, "find" dy/dx`.
