Advertisements
Advertisements
प्रश्न
Fill in the Blank
If 3x2y + 3xy2 = 0, then `"dy"/"dx"` = ________
उत्तर
If 3x2y + 3xy2 = 0, then `"dy"/"dx"` = -1.
Explanation:
3x2y + 3xy2 = 0
Dividing both sides by 3xy, we get
x + y = 0
Differentiating both sides w.r.t.x, we get
`1 + "dy"/"dx" = 0`
∴ `"dy"/"dx" = - 1`
APPEARS IN
संबंधित प्रश्न
If y = eax. cos bx, then prove that
`(d^2y)/(dx^2) - 2ady/dx + (a^2 + b^2)y` = 0
Find `"dy"/"dx"` if, y = `root(3)("a"^2 + "x"^2)`
Find `"dy"/"dx"` if, y = log(log x)
Find `"dy"/"dx"` if, y = `"a"^((1 + log "x"))`
If y = 2x2 + 22 + a2, then `"dy"/"dx" = ?`
Find `"dy"/"dx"`, if y = `2^("x"^"x")`.
If f'(4) = 5, f(4) = 3, g'(6) = 7 and R(x) = g[3 + f(x)] then R'(4) = ______
If x = f(t) and y = g(t) are differentiable functions of t so that y is a differentiable function of x and `(dx)/(dt)` ≠ 0 then `(dy)/(dx) = ((dy)/(dt))/((dx)/(d"))`.
Hence find `(dy)/(dx)` if x = sin t and y = cost
`"d"/("d"x) [sin(1 - x^2)]^2` = ______.
If ex + ey = ex+y , prove that `("d"y)/("d"x) = -"e"^(y - x)`
Find `("d"y)/("d"x)`, if y = `tan^-1 ((3x - x^3)/(1 - 3x^2)), -1/sqrt(3) < x < 1/sqrt(3)`
y = cos (sin x)
If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/dx`
Find `dy/dx` if ,
`x= e^(3t) , y = e^(4t+5)`
If x = Φ(t) is a differentiable function of t, then prove that:
`int f(x)dx = int f[Φ(t)]*Φ^'(t)dt`
Hence, find `int(logx)^n/x dx`.
Find `dy/dx` if, y = `e^(5x^2-2x+4)`
If y = `root5((3x^2+8x+5)^4)`, find `dy/dx`
Find `"dy"/"dx"` if, y = `"e"^(5"x"^2 - 2"x" + 4)`
Find `dy/(dx)` if, y = `e^(5x^2 - 2x + 4)`
