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 320 off

				   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


4 years ago

Share

										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 & RegardsJitender SinghIIT DelhiaskIITians Faculty

2 years ago

# Other Related Questions on Differential Calculus

Y=tan x + sec x Prove that – cos x/(1- sinx) 2 Plz give me solution of that question i am very confused about it. I had try to solve this but i cant so plzz give me solution on my whatssapp ...

Hello Mohan The question is not clear, could you post what needs to be proved in this question.-------------------

 Ajay 29 days ago
Plz 12 question

((1-cos2x)sin5x)/((x^2)(sin3x) where lim tends to 0 1-cos2x=2(sin^x) sin^x/(x^2)=1 hence, 2(((sin^x)^2)/x^2)*(sin5x/sin3x) 2*(sin5x)/(sin3x) using l’ hopital rule 2*(cos5x)*5)/(cos3x).3)...

 srishti one year ago

e^(x^2)-cosx/x^2 using l hopital rule 2xe^2+sinx/2x 4x^2e^x+cosx/2 1/2

 srishti one year ago
Question: If xe^(xy) – y = sin^2x, then find dy/dx at x=0.

Given eqn. xe^(xy) – y = sin^2x, Differentiate y w.r.t. x as: (1)e^(xy) + xe^(xy)*[1.y + xdy/dx] – dy/dx = sin2x collect dy/dx, put x = 0: dy/dx = 1 is the answer.

 Vikas TU 2 months ago

xe^xy – y = sin^2x ∴ y = xe^xy – sin^2x Differention both sides w.r.t x: dy/dx = (1).(e^xy) + (x).(ye^xy) – 2.sinx.cosx ∴ dy/dx = e^xy + xy.e^xy – 2.sinx.cosx NOTE: Differentiate xe^xy by...

 Praneet Debnath 2 months ago
Find the interval in which m lies so that the expression (mx^2+3x-4)/(-4x^2+3x+m) can take all real values, x belongs to R.

Find D1 for numerator. Find D2 for denominator. where D1 and D2 are the Discriminants of those two quadratics. then solve D1 greater than equal to zero and D2 for greater than zero. then...

 Vikas TU 16 days ago
A ray of light coming from the point (1,2) is reflected at a point A on the y-axis and then passes through the point (5,3). What are the co-ordinates of point A?

Dear Student Here you should take three cases Case (1) Point is at origin, Case (2) Point is above origin (0,y) , y>0 Case (3) Point is below origin (0,y), y<0 And for all the three...

 Vijay Mukati one month ago

Find the reflection of point (1,2) w.r.t y-axis. By simple geometry you will find that point of reflection of (1,2) i.e. (-1,2) , point A and (5,3) are collinear. So you can easily find the ...

I m in now class 11... what bok I choose for study in all subject... Please help me...

Chemistry NCERT Chemistry text books of class XI and class XII (usually sufficient) Organic Chemistry by Morrison and Boyd (only for understanding concepts) Arihant Organic Chemistry...

 Sourabh Singh 4 months ago

 Nishant Vora 4 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

Get extra R 320 off

More Questions On Differential Calculus