Home
Class 12
MATHS
If d/(dx) {f(x)}=1/(1+x^2) then d/(dx){...

If `d/(dx) {f(x)}=1/(1+x^2)` then `d/(dx){f(x^3)}` is a)`(3x)/(1+x^3)` b)`(3x^2)/(1+x^6)` c)`(-6x^5)/(1+x^6)^2` d)`(-6x^5)/(1+x^6)`

A

`(3x)/(1+x^3)`

B

`(3x^2)/(1+x^6)`

C

`(-6x^5)/(1+x^6)^2`

D

`(-6x^5)/(1+x^6)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If P(x)= x^3- 6x^2 + 11x-1 then find: p(1)

If P(x)= x^3- 6x^2 + 11x-1 then find: p(3)

If P(x)= x^3- 6x^2 + 11x-1 then find: p(2)

If g(x) is the inverse of f(x) and f'(x) = (1)/( 1+ x^3) , then g'(x) is equal to a) g(x) b) 1+g(x) c) 1+ {g(x)}^3 d) (1)/( 1+ {g(x)}^3)

If P(x)= x^3- 6x^2 + 11x-1 then find: p(x)-p(1)

If P(x)= x^3- 6x^2 + 11x-1 then find: p(x)-p(3)

If P(x)= x^3- 6x^2 + 11x-1 then find: p(x)-p(2)

If d/(d x) f(x)=4 x^3-3/x^4 such that f(2)=0 , then f(x) is a) x^4+1/x^3-(129)/8 b) x^3+1/x^4 + (129)/8 c) x^4+1/x^3+(129)/8 d) x^3+1/x^4-(129)/8

If f(x)=log[e^(x)((3-x)/(3+x))^(1//3)] then f'(1) is equal to a) (3)/(4) b) (2)/(3) c) (1)/(3) d) (1)/(2)

If f(x) satisfies the relation 2f(x)+f(1-x)=x^2 for all real X, then f(x) is a) (x^2+2x-1)/6 b) (x^2+2x-1)/3 c) (x^2+4x-1)/3 d) (x^2-3x+1)/6