Let \( a+b=4 \), where \( a2 \) and let \( g(x) \) be a differentiable function. If \( \frac{d g...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=_RLLNPfLCH4



Duration: 8:25
3 views
0


Let \( a+b=4 \), where \( a2 \) and let \( g(x) \) be a differentiable function. If \( \frac{d g}{d x}0, \forall x \) prove that
P \( \int_{0}^{a} g(x) d x+\int_{0}^{b} g(x) d x \) increases as \( (b-a) \) increases.

W
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-02-13Given A circle, \( 2 x^{2}+2 y^{2}=5 \) and a parabola, \( y^{2}=4 \sqrt{5} x \). Statement I An...
2023-02-13A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent ...
2023-02-13The ratio of the areas of the two triangles formed by the lines representing the equations \( 2 ...
2023-02-13Determine a positive integer \( n \leq 5 \), such that \( \int_{0}^{1} e^{x}(x-1)^{n} d x=16-6 e...
2023-02-13If \( f \) is a continuous function with \( \int_{0}^{x} f(t) d t \rightarrow \infty \) as \( ...
2023-02-13A vessel contains a mixture of \( 24 \mathrm{~L} \) milk and \( 6 \mathrm{~L} \) water and secon...
2023-02-13Match the following columns. \( \mathrm{W} \) t. \( -2 \)
2023-02-13Read the following statements regarding bioliogical museums:- (i) B...
2023-02-13Let \( S=\{1,2,3, \ldots \ldots, 9\} \). For \( k=1,2, \ldots, 5 \), let \( \mathrm{N}_{\mathrm{...
2023-02-13(a) How many divisors are there of the number \( x=21600 \). Find also the sum of these divisors...
2023-02-13Let \( a+b=4 \), where \( a2 \) and let \( g(x) \) be a differentiable function. If \( \frac{d g...
2023-02-13Let \( \mathrm{S} \) be the set of first 100 natural number, \( \mathrm{L} \) is the least commo...
2023-02-13There are 3 cars of different make available to transport 3 girls and 5 boys on a field trip. Ea...
2023-02-13An original solution of an inorganic salt in dilute \( \mathrm{HCl}...
2023-02-13Evaluate \( \int_{0}^{1}(t x+1-x)^{n} d x \) where \( n \) is a positive integer and \( t \) is ...
2023-02-13Ten students of class \( X \) took part in Value Based Quiz. If the number of boys is 4 less tha...
2023-02-13Naked cytoplasm, multinucleated and saprophytic are the characteris...
2023-02-13Shashi has decided fixed distance to walk on a tread mill. First day, she walks at a certain spe...
2023-02-13A shop sells 6 different flavours of ice-cream. In how many ways can a customer choose 4 ice-cre...
2023-02-13(i) Prove that : \( { }^{n} P_{r}={ }^{n-1} P_{r}+r \cdot{ }^{n-1} P_{r-1} \) (ii) If \( { }^{20...
2023-02-13In an election for the managing committee of a reputed club , the number of candidates contestin...