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
Menu
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 320 off
USE CODE: MOB20

				   

If f(x) is a polynomial function which satisfy the relation (f(x))2 f"(x)=(f"(x))3 f'(x), f'(0)=f'(1)=f'(-1)=0,f(0)=4, f(±1)=3, then f"(i) (where i=√7) is equal to


Please show complete solution

4 years ago

Share

Answers : (1)

										
Ans:
f'(0) = f'(-1) = f'(1) = 0
\Rightarrow f'(x) = ax(x-1)(x+1), a = constant
\int df(x) = \int ax(x-1)(x+1)dx
f(x) = a(\frac{x^{4}}{4}-\frac{x^{2}}{2}) + c, c = constant
f(0) = a(\frac{0^{4}}{4}-\frac{0^{2}}{2}) + c = 4
\Rightarrow c = 4
f(\pm 1) = a(\frac{(\pm 1)^{4}}{4}-\frac{(\pm 1)^{2}}{2}) + 4 = 3
\frac{-a}{4} = -1
a = 4
f(x) = x^{4}-2x^{2}+4
f'(x) = 4x^{3}-4x
f''(x) = 12x^{2}-4
f''(\sqrt{7}) = 12(\sqrt{7})^{2}-4 = 80
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty
one year ago

Post Your Answer

if y=log(tan x) the value of dy/dx = ….......................................................
 
 
y=log(tan x) dy/dx = d(log(tanx))/dx = (1/tanx) *d(sinx/cosx)/dx = (cosx/sinx) * (cosx/-sinx) = – (cosx*cosx) / (sinx*sinx) = – cos 2 x/sin 2 x Hope it helped
 
Jigar Marvaniya 8 days ago
if x 2 +xy+3y 2 =1 then find (x+6y) 3 d 2 y/dx 2 +22(x 2 +3y 2 )=0
 
 
Hii I am giving you hint how to proceed. Use it and even if you are not able to contact us .
  img
Sourabh Singh 7 days ago
what is the differentiation????????????????????????????????????????????
 
 
Dear Sudharashan Packing can be a source of product is called differentiation. This will be usefull in mathematics as well as physics
 
Prabhakar ch 3 months ago
 
hi sudarshan... Differentiation (economics), the making a product different from other similar products. Differentiation (ethnography), the invention of ostensible differences between...
 
manichandra 3 months ago
 
hi sudarshan... Differentiation (economics), the making a product different from other similar products. Differentiation (ethnography), the invention of ostensible differences between...
 
mohan 3 months ago
Find the vector equation of the plane through the points (2, 1, –1) and (–1, 3, 4) and perpendicular to the plane x – 2y + 4z = 10.
 
 
You need to consider normal to a plane as (a,b,c). You have 2 coplanar vectors and normal to the plane with the help of which you can find the value of a, b ,c .
  img
Sourabh Singh one month ago
 
Sir, I tried to do it............but got stuck up in the middle........... can u please solve it......!!!!
 
Smruthi one month ago
what are some important value we can earn in studying arithmetic progression and geometric progression
 
 
Understanding AP and GP will let you understand how the series can be solved easily which increases or decreases by the fixed ratio or distance. Thanks
  img
Vijay Mukati 10 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,000 off
USE CODE: FC20

Get extra R 320 off
USE CODE: MOB20

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details