Which of the following function is incre...

Which of the following function is increasing for all values of x in its domain ?

A

sin x

B

log x

C

`x^2`

D

|x|

Text Solution

Verified by Experts

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
MODERN PUBLICATION|Exercise EXERCISE|433 Videos
APPLICATIONS OF THE INTEGRALS
MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

Which of the following function is always increasing?

Which one of the following functions is continuous everywhere in its domain but has atleast one point where it is not differentiable ?

Determine for which values of x, the following function are increasing or decreasing: f(x) = -3x^2 + 12 x + 8

Determine for which values of x, the following function are increasing or decreasing: f(x) = x^3 - 12x

Determine for which values of x, the following function are increasing or decreasing: f(x) = 2x^3 - 24x + 107

Prove that the exponential function e^x is increasing for all x in R.

A function f(x) satisfies the following property: f(x+y)=f(x)f(y)dot Show that the function is continuous for all values of x if its is continuous at x=1.

Determine for which values of x, the following function are increasing or decreasing: f(x) = x^3 + 1/x^3 , x ne0

Are the following functions continuous at each point of their domains? e^x

Sketch the graph of the following function : f(x)= 4- 2x . Also find its domain and range.

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE

Find the rate of change of the area of a circle per second with respec...
Text Solution
|
Find the rate of change of the area of a circle with respect to its ra...
Text Solution
|
Which of the following function is increasing for all values of x in i...
Text Solution
|
The interval in which te function f(x) =x^2 -6x+5 increasing is
Text Solution
|
The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2
Text Solution
|
If x is real, the maximum value of x^2 -8x + 17 is
Text Solution
|
A straight line parallel to the line 2x-y+5 =0 is also a tangent to th...
Text Solution
|
The function f(x) = 2x^3 -15x^2+36x+6 is stictly decreasing in the int...
Text Solution
|
The slope of the tangent to the curve y^2e^(xy) =9e^(-3)x^2 at (-1,3) ...
Text Solution
|
The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with ...
Text Solution
|
A stone is dropped into a quiet lake and wave move in circles at a spe...
Text Solution
|
If 'f' is a real valued differentiable function such that f(x) f'(x) <...
Text Solution
|
Maximum value of the function f(x) = x/8+2/x on the interval [1,6] is
Text Solution
|
f(x) = (logx)/x is increasing in the interval
Text Solution
|
The total number of local maxima and local minima of the function f(x)...
Text Solution
|
Given p(x) =x^4 +ax^3 +bx^2+cx +d such that x = 0 is the only real roo...
Text Solution
|
The equation of the tangent to the curve y = x+4/x^2, that is parallel...
Text Solution
|
Let f: R rarr R be a positive increasing function with underset(xrar...
Text Solution
|
Let F: R rarr R be defined by: f(x) = {:{(k-2x,ifxle-1),(2x+3,ifx> -1)...
Text Solution
|
A spherical balloon is filled with 4500pi cubic metres of helium gas. ...
Text Solution
|