Advertisements
Advertisements
Question
Differentiate the following with respect to x.
`(sqrtx + 1/sqrtx)^2`
Sum
Advertisements
Solution
Let y = `(sqrtx + 1/sqrtx)^2`
`x + 1/x + 2 * sqrtx * 1/sqrtx`
y = `x + 1/x + 2`
`"dy"/"dx" = 1 - 1/x^2 + 0 = 1 - 1/x^2`
shaalaa.com
Differentiation Techniques
Is there an error in this question or solution?
Chapter 5: Differential Calculus - Exercise 5.5 [Page 118]
APPEARS IN
RELATED QUESTIONS
Differentiate the following with respect to x.
3x4 – 2x3 + x + 8
Differentiate the following with respect to x.
`e^x/(1 + x)`
Differentiate the following with respect to x.
x sin x
Differentiate the following with respect to x.
cos3 x
Differentiate the following with respect to x.
`1/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)
Differentiate sin2x with respect to x2.
If = a cos mx + b sin mx, then show that y2 + m2y = 0.
If y = 2 sin x + 3 cos x, then show that y2 + y = 0.
