when function is increasing


2 years ago

Share

                                        The derivative of a function may be used to determine whether the  function is increasing or decreasing on any intervals in its domain. If      f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I.      f′(x) < 0 at each point in an interval I, then the function is said to be      decreasing on I. Because the derivative is zero or does not  exist only at critical points of the function, it must be positive or  negative at all other points where the function exists.

2 years ago

More Questions On Differential Calculus

Post Question

Vouchers
To Win!!!
Total number of solution 2 x +3 x +4 x -5 x =0 Thanks

Ans: There is only one solution that lie b/w 2 & 3. So both values have opposite sign, so f(x) should be zero b/w somewhere. You can see it from the graph also. Thanks & Regards...

 Jitender Singh 3 months ago
Find doamin of f(x) g(x)=|sinx|+sinx h(x)=sinx+cosx , x is in b/w 0 to pi f(x)=(logh(x) g(x))1/2 log is in square root answer is pi/6,pi/2 pls give two solution graph and analytical. thanks

Ans: 1st Part: 2nd Part: 1st Condition: …...........(1) 2nd Condition: …...............(2) Final Solution: Intersection of (1) & (2) Thanks & Regards Jitender Singh IIT...

 Jitender Singh 3 months ago
f(x)=cospx+sinpx is periodic then p must be rational or irrational or can be postive real number. Thanks

Ans: are periodic function with a period of 2pi. are periodic with a period of p can be anything other than zero. Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty

 Jitender Singh 3 months ago
A bullet loses nth fraction of its velocity while passing through a sandbag. The minimum number of sandbags required to arrest the bullet is?

the velocity after first bag = v- v/n = v(n-1)/n the velocity after secnod bag = v(n-1)/n- v(n-1)/n^2 = v(n-1)/n(n-1)/n = v(n-1) 2 /n 2 if n=1, means velocity loses complete velocity then 1...

plz find value of k?

Let the roots of the equation are [r_{1}, r_{2},r_{3}\; and\; r_{4}] . Given that [r_{1} \times r_{2} = -31] . From the equation [r_{1} \times r_{2} \times r_{3} \times r_{4}=-2015 \\...

 Satyajit Samal 15 days ago

Let the roots of the equation are . Given that . From the equation Also …...........(1) ….............(2) Also ….......(3) Use (1) and (3) to find . Use the values in...

 Satyajit Samal 15 days ago
Solve this ∫(xsinx/e x +1) dx Limit is from -1 to 1.