Click to Chat

0120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off
USE CODE: SSPD25

```				   if y =(arcsin x)^2 ,prove that (1-x^2)y" - xy' - y=0
where y" is second derivative of y with respect to x
y' is first derivative of y with respect to x
```

5 years ago

Share

### Answers : (1)

```										y=(sin-1 x)2
sin-1x= y1/2 ..........1
x=sin(y)1/2
differentiating wrt x
1 = cos(y)1/2 y' /2y1/2 or
y'=2 (y)1/2 sec(y)1/2  ........................2
again differentiating wrt x
y'' = 2[ (y)1/2 secy1/2 tany1/2 (1/2y1/2)  + secy1/2 (1/2y1/2) ]  .....................3
multiplying 1 and 2
xy' =2y1/2 tany1/2 ...............4
solving these equations we wil get the desired result

```
5 years ago

# Other Related Questions on Differential Calculus

Plz solve this

HInt:- For first question replace x + y = t and try to find it out. For second apply the formula of product rule of differenciation.

 Vijay Mukati one year ago
Find the value of limit x tends to zero |x| ^[cosx]

tHE answer should be zero itself. As no determinancy forms here. Range of cosx is [-1,1] which is a constant fixed number. Therefore power of zero as anythng constant wiould be zero.

 Vikas TU 2 months ago
How to determine principal period of f(x-1)+f(x+1)=3^1/2f(x)

Bhai, HashLearn is providing unlimited doubt clearing with IIT tutors for a month at Rs. 199. You should try them. Better than waiting here for a response

 Ankit 14 days ago
is the sum of two convergent sequences is divergent?

@ aryan no , its not true for every case , but some cases it might be true . the small example u can take that is y (n ) = – x (n ) for all value of n HOPE IT CLEARS YOUR DOUBT ALL THE BEST ...

 Umakant biswal 2 months ago
The minimum value of atan 2 x + cot 2 x equals the maximum value of asin 2 y + bcos 2 y where a and b are grater than 0. Then a/b is (a)2 (b)4 (c)6 (d)8 Please explain fully.

The minimum value is 2√ab but I can not understand how it came?

 Mudit 2 months ago

Minimum value of atan 2 x + cot 2 x = > First convert them into sec and cosec. = a(sec^2x – 1) + (cosec^2 – 1) = a(1/cos^^2x – 1) + (1/sin^2x – 1) = 1/sin^2x + a/cos^2x – 2 = 1/(1-cos^2x) + ...

 Vikas TU 2 months ago
find all the pairs (x.y) x>y>=2 of integers such that x^y=y^(x-y)

soln

 Nishant Vora one month ago
View all Questions »

• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: R 15,000
• View Details
Get extra R 3,750 off
USE CODE: SSPD25

Get extra R 400 off
USE CODE: SSPD25

More Questions On Differential Calculus