Show that the fn f given by f(x)= x3-3x2+4x , (x belongs to R) is strictly increasing .
Show that the fn f given by f(x)= x3-3x2+4x , (x belongs to R) is strictly increasing .
Neetu , 8 Years ago
Grade 12
Differential Calculus> Show that the fn f given by f(x)= x 3 -3x...
2 Answerssahil
See in these type of question first differentiate it and then if the equation obtained after differentiating is positive for all x then it is increasing. So after dy/dx we get 3x^2-6x+4 and it can be written as 3x(x-2)+4 now we see as we take x greater or equal to 2 the equation is positive and also when we take x less than or equal to 0 the equation is also positive. Now the only values of x left is 0
sahil
See in these type of question first differentiate it and then if the equation obtained after differentiating is positive for all x then it is increasing. So after dy/dx we get 3x^2-6x+4 and it can be written as 3x(x-2)+4 now we see as we take x greater or equal to 2 the equation is positive and also when we take x less than or equal to 0 the equation is also positive. Now the only values of x left is 0
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on differential calculus
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?
differential calculus
1 Answer Available
Last Activity: 3 Years ago
Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.
Find dy/DX when y=x^sinx+sin-1√x.
Please give me the solution of this problem.
differential calculus
1 Answer Available
Last Activity: 3 Years ago
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
1 Answer Available
Last Activity: 3 Years ago
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
1 Answer Available
Last Activity: 3 Years ago
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
1 Answer Available
Last Activity: 3 Years ago