Home
Class 12
MATHS
If f'(x)=4x^3-3x^2+2x+k and f(0)=1, f(1)...

If `f'(x)=4x^3-3x^2+2x+k` and `f(0)=1, f(1)=4` find `f(x)`

A

`x^(4)-x^(3)+x^(2)+2x+1`

B

`x^(4)-x^(3)+x^(2)+x+2`

C

`x^(4)-x^(3)+x^(2)+2x+2`

D

`x^(4)-x^(3)+x^(2)+x+1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : SINGLE OPTION CORRECT TYPE)|10 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|1 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|14 Videos

  • DIFFERENTIAL EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

Similar Questions

Explore conceptually related problems

If f'(x)=3x^(2)+2x-4 and f(1)=3, then f(x)=

Evaluate If f' (x) = 4x ^(3) - 3x ^(2) + 2x + k, f (0) = 1 and f (1) = 4 find f (x)

If f'(x)=8x^(3)+3x^(2)-10x-k " and " f(0)=-3,f(-1)=0," then " f(x)= is

If f'(x)=3x^(2)-(2)/(x^(3)) and f(1)=0, find f(x)

If f (x)=4x -x ^(2), then f (a+1) -f (a-1) =

If f'(x)=3x^(2)-(2)/(x^(3)) and f(1)=0, find f(x).

Let f : R rarr given by f(x) = 3x^(2) + 5x + 1 . Find f(0), f(1), f(2).

If f(x)=x^(3)+3x^(2)-2x+4, find f(-2)+f(2)-f(0)

(i) If f(x) = 3x^(4)- 5x^(2) + 7, " find " f(x-1) (ii) If f(x) = x^(2) - 3x + 4 , then find the values of x satisfying f(x) = f(2x+1)

If f'(x)=k(cos x-sin x),f'(0)=3 and f((pi)/(2)) find f'(x)