Advertisements
Advertisements
Question
Differentiate the following with respect to x.
`(3 + 2x - x^2)/x`
Solution
Let y = `(3 + 2x - x^2)/x`
`= 3/x + (2x)/x - x^2/x`
y = `3/x + 2 - x`
`"dy"/"dx" = (-3)/x^2 + 0 - 1`
`= (-3)/x^2 - 1`
`= (- 3 - x^2)/x^2`
`= - ((3 + x^2))/x^2`
APPEARS IN
RELATED QUESTIONS
Differentiate the following with respect to x.
x3 ex
Differentiate the following with respect to x.
`(sqrtx + 1/sqrtx)^2`
Differentiate the following with respect to x.
`e^x/(1 + e^x)`
Differentiate the following with respect to x.
ex (x + log x)
Differentiate the following with respect to x.
x3 ex
Differentiate the following with respect to x.
`sqrt(1 + x^2)`
Differentiate the following with respect to x.
(sin x)x
Find `"dy"/"dx"` of the following function:
x = a(θ – sin θ), y = a(1 – cos θ)
If y = 500e7x + 600e-7x, then show that y2 – 49y = 0.
If y = `(x + sqrt(1 + x^2))^m`, then show that (1 + x2) y2 + xy1 – m2y = 0
