Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Please answer the question attached in it. Its a bit complicated to write. It is from integral calculus.

Please answer the question attached in it. Its a bit complicated to write. It is from integral calculus. 

Question Image
Grade:

1 Answers

Aditya Gupta
2080 Points
2 years ago
obviously, f(3)=0
now we use leibniz formula for differentiation under the integral sign and obtain
f’(x)= 1/sqrt(x^4+3x^2+13)
now, since g is inverse if f,
g(f(x))=x
differentiate both sides
g’(f(x))*f’(x)=1
in above eqn, put x=3
g’(f(3))*f’(3)=1
g’(0)*f’(3)=1
or g’(0)=1/f’(3)
now f’(3)= 1/sqrt(3^4+3*3^2+13)
=1/sqrt(121)
=1/11
so, g’(0)= 11
 
 
 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free