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

The price P for the demand D is given as P = 183 + 120D − 3D2, then the value of D for which price is increasing, is ______.

Advertisements
Advertisements

प्रश्न

The price P for the demand D is given as P = 183 + 120D − 3D2, then the value of D for which price is increasing, is ______.

पर्याय

  • D < 60

  • D > 60

  • D < 20

  • D > 20

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

The price P for the demand D is given as P = 183 + 120D − 3D2, then the value of D for which price is increasing, is D < 20.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1.4: Applications of Derivatives - Q.1

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Find the intervals in which the following functions are strictly increasing or decreasing:

−2x3 − 9x2 − 12x + 1


Find the intervals in which the following functions are strictly increasing or decreasing:

 (x + 1)3 (x − 3)3


Water is dripping out from a conical funnel of semi-verticle angle `pi/4` at the uniform rate of `2 cm^2/sec`in the surface, through a tiny hole at the vertex of the bottom. When the slant height of the water level is 4 cm, find the rate of decrease of the slant height of the water.


Find the interval in which the following function are increasing or decreasing f(x) = 2x3 + 9x2 + 12x + 20  ?


Find the interval in which the following function are increasing or decreasing \[f\left( x \right) = \frac{3}{10} x^4 - \frac{4}{5} x^3 - 3 x^2 + \frac{36}{5}x + 11\] ?


Find the intervals in which f(x) = sin x − cos x, where 0 < x < 2π is increasing or decreasing ?


Show that f(x) = e2x is increasing on R.


Prove that the function f(x) = cos x is:
(i) strictly decreasing in (0, π)
(ii) strictly increasing in (π, 2π)
(iii) neither increasing nor decreasing in (0, 2π).


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


Find the interval in which f(x) is increasing or decreasing f(x) = sinx + |sin x|, 0 < x \[\leq 2\pi\] ?


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


Find the set of values of 'a' for which f(x) = x + cos x + ax + b is increasing on R ?


Write the set of values of a for which the function f(x) = ax + b is decreasing for all x ∈ R ?


Write the set of values of a for which f(x) = cos x + a2 x + b is strictly increasing on R ?


Let \[f\left( x \right) = \tan^{- 1} \left( g\left( x \right) \right),\],where g (x) is monotonically increasing for 0 < x < \[\frac{\pi}{2} .\] Then, f(x) is


Function f(x) = ax is increasing on R, if


If the function f(x) = x3 − 9kx2 + 27x + 30 is increasing on R, then


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


Find the intervals in which function f given by f(x)  = 4x3 - 6x2 - 72x + 30 is (a) strictly increasing, (b) strictly decresing .


Show that y = `log (1 + x) – (2x)/(2 + x), x > - 1` is an increasing function on its domain.


Find the value of x, such that f(x) is increasing function.

f(x) = 2x3 - 15x2 - 144x - 7 


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.


State whether the following statement is True or False:

The function f(x) = `"x"*"e"^("x" (1 - "x"))` is increasing on `((-1)/2, 1)`.


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


The function f(x) = sin x + 2x is ______ 


The function f(x) = x2 – 2x is increasing in the interval ____________.


Which of the following graph represent the strictly increasing function.


For \[f'(x)=12(x-3)(x+2)\], what are the critical points obtained from \[f'(x)=0\]?


For \[f(x)=4x^3-6x^2-72x+30\], on which intervals is \[f\] increasing?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×