Advertisements
Advertisements
प्रश्न
If y = `("e")^((2x + 5))`, then `("d"y)/("d"x)` is ______
उत्तर
`2"e"^(2x + 5)`
APPEARS IN
संबंधित प्रश्न
Find `"dy"/"dx"`If x3 + x2y + xy2 + y3 = 81
Find `"dy"/"dx"` if ex+y = cos(x – y)
Find `"dy"/"dx"` if, y = (5x3 - 4x2 - 8x)9
Find `"dy"/"dx"` if, y = `"a"^((1 + log "x"))`
If y = cos−1 [sin (4x)], find `("d"y)/("d"x)`
Choose the correct alternative:
If y = `root(3)((3x^2 + 8x - 6)^5`, then `("d"y)/("d"x)` = ?
Find `("d"^2y)/("d"x^2)`, if y = `"e"^((2x + 1))`
y = (6x4 – 5x3 + 2x + 3)6, find `("d"y)/("d"x)`
Solution: Given,
y = (6x4 – 5x3 + 2x + 3)6
Let u = `[6x^4 - 5x^3 + square + 3]`
∴ y = `"u"^square`
∴ `("d"y)/"du"` = 6u6–1
∴ `("d"y)/"du"` = 6( )5
and `"du"/("d"x) = 24x^3 - 15(square) + 2`
By chain rule,
`("d"y)/("d"x) = ("d"y)/square xx square/("d"x)`
∴ `("d"y)/("d"x) = 6(6x^4 - 5x^3 + 2x + 3)^square xx (24x^3 - 15x^2 + square)`
If f(x) = `(x - 2)/(x + 2)`, then f(α x) = ______
If x = a sec3θ and y = a tan3θ, find `("d"y)/("d"x)` at θ = `pi/3`
Let x(t) = `2sqrt(2) cost sqrt(sin2t)` and y(t) = `2sqrt(2) sint sqrt(sin2t), t ∈ (0, π/2)`. Then `(1 + (dy/dx)^2)/((d^2y)/(dx^2)` at t = `π/4` is equal to ______.
Solve the following:
If`y=root(5)((3x^2+8x+5)^4),"find" (dy)/dx`
If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/dx`
If y = `log((x + sqrt(x^2 + a^2))/(sqrt(x^2 + a^2) - x))`, find `dy/dx`.
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)((3x^2 + 8x + 5)^4)`, find `dy/dx`
