Advertisements
Advertisements
Question
If y = 2 + log x, then show that xy2 + y1 = 0.
Sum
Solution
y = 2 + log x
`y_1 = 0 +1/x`
i.e., `y_1 = 1/x`
`therefore y_2 = - 1/x^2`
Now `xy_2 + y_1 = x(- 1/x^2) + 1/x = (-1)/x + 1/x = 0`
shaalaa.com
Differentiation Techniques
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Differentiate the following with respect to x.
`5/x^4 - 2/x^3 + 5/x`
Differentiate the following with respect to x.
(x2 – 3x + 2) (x + 1)
Differentiate the following with respect to x.
x4 – 3 sin x + cos x
Differentiate the following with respect to x.
ex sin x
Differentiate the following with respect to x.
xsin x
Differentiate sin3x with respect to cos3x.
Differentiate sin2x with respect to x2.
Find y2 for the following function:
x = a cosθ, y = a sinθ
If xy2 = 1, then prove that `2 "dy"/"dx" + y^3`= 0
If y = 2 sin x + 3 cos x, then show that y2 + y = 0.