Advertisements
Advertisements
Question
Differentiate the following with respect to x.
`(3 + 2x - x^2)/x`
Advertisements
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.
(x2 – 3x + 2) (x + 1)
Differentiate the following with respect to x.
cos2 x
Find `"dy"/"dx"` for the following function.
x2 – xy + y2 = 1
Differentiate the following with respect to x.
xsin x
If xm . yn = (x + y)m+n, then show that `"dy"/"dx" = y/x`
Find `"dy"/"dx"` of the following function:
x = a(θ – sin θ), y = a(1 – cos θ)
Differentiate sin2x with respect to x2.
Find y2 for the following function:
y = log x + ax
If y = 2 + log x, then show that xy2 + y1 = 0.
If y = 2 sin x + 3 cos x, then show that y2 + y = 0.
