Advertisements
Advertisements
Question
Choose the correct alternative:
If y = `x^(sqrt(x))`, then `("d"y)/("d"x)` = ?
Options
`y/(2sqrt(x))(log x + 2)`
`y/sqrt(x)(log x + 2)`
`y/(2sqrt(x))(log x - 2)`
`y/sqrt(x)(log x - 2)`
Solution
`y/(2sqrt(x))(logx + 2)`
APPEARS IN
RELATED QUESTIONS
Find `"dy"/"dx"`If x3 + x2y + xy2 + y3 = 81
Find `dy/dx if x^2y^2 - tan^-1(sqrt(x^2 + y^2)) = cot^-1(sqrt(x^2 + y^2))`
Find `"dy"/"dx"` if, y = `"e"^(5"x"^2 - 2"x" + 4)`
If y = `root(5)((3"x"^2 + 8"x" + 5)^4)`, find `"dy"/"dx"`.
If sin−1(x3 + y3) = a then `("d"y)/("d"x)` = ______
State whether the following statement is True or False:
If y = ex, then `("d"^2y)/("d"x^2)` = ex
If y = `x/"e"^(1 + x)`, then `("d"y)/("d"x)` = ______.
If y = (sin x2)2, then `("d"y)/("d"x)` is equal to ______.
Given f(x) = `1/(x - 1)`. Find the points of discontinuity of the composite function y = f[f(x)]
If y = `sec^-1 ((sqrt(x) + 1)/(sqrt(x + 1))) + sin^-1((sqrt(x) - 1)/(sqrt(x) + 1))`, then `"dy"/"dx"` is equal to ______.
Find `dy/dx` if, `y=e^(5x^2-2x+4)`
Solve the following:
If y = `root5 ((3x^2 + 8x + 5)^4 ,) "find" "dy"/ "dx"`
Solve the following:
If`y=root(5)((3x^2+8x+5)^4),"find" (dy)/dx`
Find `dy/dx` if, y = `e^(5x^2 - 2x + 4)`
The differential equation of (x - a)2 + y2 = a2 is ______
Find `dy/dx` if, y = `e^(5x^2 -2x + 4)`
If y = `root5((3x^2 + 8x +5)^4)`, find `dy/dx`.
Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 12 + 10`x + 25x^2`
If y = `root{5}{(3x^2 + 8x + 5)^4)`, find `(dy)/(dx)`