Suppose you do not know the function \( f(x) \), however some information about \( f(x) \) is li...

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=KZ42siDMYTE


Category:
Guide
Duration: 2:40
1 views
0

Suppose you do not know the function \( f(x) \), however some information about \( f(x) \) is listed below.
Read the following carefully before attempting the questions
(i) \( f(x) \) is continuous and defined for all real numbers
(ii) \( f^{\prime}(-5)=0, f^{\prime}(2) \) is not defined and \( f^{\prime}(4)=0 \)
(iii) \( (-5,12) \) is a point which lies on the graph of \( f(x) \)
(iv) \( f^{\prime \prime}(2) \) is undefined, but \( f^{\prime \prime}(x) \) is negative everywhere else
(v) The signs of \( f^{\prime}(x) \) is given below
From the possible graph of \( y=f(x) \), we can say that
(a) there is exactly one point of inflection on the curve
(b) \( f(x) \) increases on \( -5x2 \) and \( x4 \) and decreases on \( -\inftyx-5 \) and \( 2x4 \)
(c) the curve is always concave down
(d) curve always concave up
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-27The minimum value of \( \frac{\tan \left(x+\frac{\pi}{6}\right)}{\tan x} \) is
2022-10-27Consider \( f, g \) and \( h \) be three real valued function defined on \( R \). Let \( f(x)=\s...
2022-10-27Consider \( f, g \) and \( h \) be three real valued function defined on \( R \). Let \( f(x)=\s...
2022-10-27Consider \( f \), g and \( h \) be three real valued functions defined on \( R \). Let \( f(x)=\...
2022-10-27Let \( f(x)=e^{(p+1) x}-e^{x} \) for real number \( p0 \), then Let \( g(t)=\int_{t}^{t+1} f(x) ...
2022-10-27Let \( g(x)=a_{0}+a_{1} x+a_{2} x^{2}+a_{3} x^{3} \) and \( f(x)=\sqrt{g(x),} f(x) \) have its n...
2022-10-27Consider the function \( f(x)=\frac{x^{2}}{x^{2}-1} \) \( f \) has (a) local maxima but not loca...
2022-10-27Consider \( f, g \) and \( h \) be three real valued functions defined on \( R \). Let \( f(x)=\...
2022-10-27Let \( f(x)=e^{(p+1) x}-e^{x} \) for real number \( p0 \), then The value of \( x=s_{p} \) for w...
2022-10-27Consider \( f, g \) and \( h \) be three real valued function defined on \( R \). Let \( f(x)=\s...
2022-10-27Suppose you do not know the function \( f(x) \), however some information about \( f(x) \) is li...
2022-10-27Suppose you do not know the function \( f(x) \), however some information about \( f(x) \) is li...
2022-10-27Suppose you do not know the function \( f(x) \), however some information about \( f(x) \) is li...
2022-10-27Consider the function \( f(x)=\frac{x^{2}}{x^{2}-1} \) If \( f \) is defined from \( R-\{-1,1\} ...
2022-10-27Consider the function \( f(x)=\frac{x^{2}}{x^{2}-1} \) The interval in which \( f \) is increasi...
2022-10-27If \( f: D \rightarrow R, f(x)=\frac{x^{2}+b x+c}{x^{2}+b_{1} x+c_{1}} \), where \( \alpha, \bet...
2022-10-27If \( f: D \rightarrow R, f(x)=\frac{x^{2}+b x+c}{x^{2}+b_{1} x+c_{1}} \), where \( \alpha, \bet...
2022-10-27In the non-decreasing sequence of odd integers \( \left(a_{1}, a_{2}, a_{3}, \ldots\right)=\{1,3...
2022-10-27Let \( g(x)=a_{0}+a_{1} x+a_{2} x^{2}+a_{3} x^{3} \) and \( f(x)=\sqrt{g(x),} f(x) \) have its n...
2022-10-27If \( f: D \rightarrow R, f(x)=\frac{x^{2}+b x+c}{x^{2}+b_{1} x+c_{1}} \), where \( \alpha, \bet...
2022-10-27Let \( f(x)=\frac{1}{1+x^{2}} \), let \( m \) be the slope, \( a \) be the \( x \)-intercept and...


Tags:
pw