Advertisements
Advertisements
प्रश्न
Differentiate the following with respect to x.
`(sqrtx + 1/sqrtx)^2`
योग
उत्तर
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
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Differential Calculus - Exercise 5.5 [पृष्ठ ११८]
APPEARS IN
संबंधित प्रश्न
Differentiate the following with respect to x.
x4 – 3 sin x + cos x
Differentiate the following with respect to x.
x sin x
Differentiate the following with respect to x.
sin x cos x
Differentiate the following with respect to x.
x3 ex
Find `"dy"/"dx"` of the following function:
x = log t, y = sin t
Differentiate sin3x with respect to cos3x.
Find y2 for the following function:
y = log x + ax
If y = `(x + sqrt(1 + x^2))^m`, then show that (1 + x2) y2 + xy1 – m2y = 0
If y = sin(log x), then show that x2y2 + xy1 + y = 0.
If y = tan x, then prove that y2 - 2yy1 = 0.