Home
Class 12
MATHS
Find intervals in which the function giv...

Find intervals in which the function given by `f(x)=3/(10)x^4-4/5x^3-3x^2+(36)/(5)x+11`is (a) strictly increasing (b) strictly decreasing.

Text Solution

Verified by Experts

`f(x) = 3/10x^4-4/5x^3-3x^2+36/5x+11`
`f'(x) = 6/5x^3 - 12/5x^2-6x+36/5`
If we put `f'(x) = 0`
`6/5x^3 - 12/5x^2-6x+36/5 = 0`
`=>x^3 - 2x^2 -5x+6 = 0`
`=>(x-1)(x+2)(x-3) = 0`
`=>x = 1,-2,3`
Now, we will draw these values of `x` on number line.
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the intervals in which f(x)= 3/(10)x^(4)-4/(5)x^(3)-3x^(2)+36/(5)x+11 is (a) strictly increasing (b) strictly decreasing.

Find the intervals in which the function f given by f(x)=2x^3-3x^2-36 x+7 is (a) strictly increasing (b) strictly decreasing

Find the intervals in which the function f given by f(x)=4x^3-6x^2-72 x+30 is (a) strictly increasing (b) strictly decreasing

Find the intervals in which the function f(x)=3/2x^4-4x^3-45 x^2+51 is (a) strictly increasing. (b) strictly decreasing.

Find the intervals in which the function f given by f(x)=x^2-4x+6 is (a) strictly increasing (b) strictly decreasing

Find the intervals in which the function f given by f(x)=2x^2-3x is(a) strictly increasing (b) strictly decreasing

Find the intervals in which the function f(x)=x^4/4-x^3-5x^2+24x+12 is (a) strictly increasing (b) strictly decreasing

Find the interval in which the function f given by f(x)=x^(2)-2x+3 is (a) Strictly increasing (b) Strictly decreasing

Find the intervals in which the function f given by f(x)=sinx+cosx ,\ \ 0lt=x\ lt=2pi is strictly increasing or strictly decreasing.

Find the intervals in which the function f given by f(x)=sinx-cosx,0lexle2π is strictly increasing or strictly decreasing.