Home
Class 12
MATHS
Two functions f & g have first & second ...

Two functions f & g have first & second derivatives at x=0 & satisfy the relations, `f(0) = 2/(g(0)), f'(0)=2g'(0) = 4g(0), g"(0)= 5 f"(0)=6f(0) = 3` then-

A

if `h(x)=(f(x))/(g(x))`d then `h'(0)=15/4`

B

if `k(x)=f(x).g(x).sinx`, then `k'(0)=2`

C

`lim_(xto0)(g'(x))/(f'(x))=1/2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=e^(x)g(x),g(0)=2,g'(0)=1, then f'(0) is

Let f(x)>0 and g(x)>0 with f(x)>g(x)AA x in R are differentiable functions satisfying the conditions (i) f(0)=2,g(0)=1 , (ii) f'(x)=g(x) , (iii) g'(x)=f(x) then

Let f(x)=e^(x)g(x),g(0)=4 and g'(0)=2, then f'(0) equals

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

f(0)=0=g(0) and f'(0)=6=g'(0)thenlim_(x rarr0)(f(x))/(g(x))=