मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

A function f is said to be increasing at a point c if ______.

Advertisements
Advertisements

प्रश्न

A function f is said to be increasing at a point c if ______.

पर्याय

  • f'(c) = 0

  • f'(c) > 0

  • f'(c) < 0

  • f'(c) = 1

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

A function f is said to be increasing at a point c if f'(c) > 0.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2022-2023 (March) Official

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Prove that the function f given by f(x) = log sin x is strictly increasing on `(0, pi/2)` and strictly decreasing on `(pi/2, pi)`


Show that f(x) = e1/x, x ≠ 0 is a decreasing function for all x ≠ 0 ?


Show that f(x) = sin x is increasing on (0, π/2) and decreasing on (π/2, π) and neither increasing nor decreasing in (0, π) ?


Show that f(x) = x − sin x is increasing for all x ∈ R ?


Find the intervals in which f(x) = (x + 2) e−x is increasing or decreasing ?


Find the value(s) of a for which f(x) = x3 − ax is an increasing function on R ?


Find the values of 'a' for which the function f(x) = sin x − ax + 4 is increasing function on R ?


The function f(x) = xx decreases on the interval


Function f(x) = cos x − 2 λ x is monotonic decreasing when


The function f(x) = x9 + 3x7 + 64 is increasing on


If x = cos2 θ and y = cot θ then find `dy/dx  at  θ=pi/4` 


Find MPC ( Marginal propensity to Consume ) and APC ( Average Propensity to Consume ) if the expenditure Ec of a person with income I is given as Ec = ( 0.0003 ) I2 + ( 0.075 ) I when I = 1000.


Solve the following:

Find the intervals on which the function f(x) = `x/logx` is increasing and decreasing.


For manufacturing x units, labour cost is 150 – 54x and processing cost is x2. Price of each unit is p = 10800 – 4x2. Find the values of x for which Revenue is increasing.


Show that function f(x) =`3/"x" + 10`, x ≠ 0 is decreasing.


Find the values of x for which the function f(x) = x3 – 6x2 – 36x + 7 is strictly increasing


State whether the following statement is True or False: 

The function f(x) = `3/x` + 10, x ≠ 0 is decreasing


The function f(x) = x3 - 3x is ______.


f(x) = `{{:(0","                 x = 0 ), (x - 3","   x > 0):}` The function f(x) is ______


The values of k for which the function f(x) = kx3 – 6x2 + 12x + 11 may be increasing on R are ______.


The function f(x) = 4 sin3x – 6 sin2x + 12 sinx + 100 is strictly ______.


The values of a for which the function f(x) = sinx – ax + b increases on R are ______.


The function f (x) = 2 – 3 x is ____________.


The function f (x) = x2, for all real x, is ____________.


Let `"f (x) = x – cos x, x" in "R"`, then f is ____________.


Let f (x) = tan x – 4x, then in the interval `[- pi/3, pi/3], "f"("x")` is ____________.


The interval in which `y = x^2e^(-x)` is increasing with respect to `x` is


y = log x satisfies for x > 1, the inequality ______.


The function f(x) = sin4x + cos4x is an increasing function if ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×