Consider \( f \), \( g \) and \( h \) be three real valued differentiable functions defined on \...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=vhY3hWs_3K8



Duration: 4:03
2 views
0


Consider \( f \), \( g \) and \( h \) be three real valued differentiable functions defined on \( R \).
Let \( g(x)=x^{3}+g^{\prime \prime}(1) x^{2}+\left(3 g^{\prime}(1)-g^{\prime \prime}(1)-1\right) x+3 g^{\prime}(1) \) \( f(x)=x g(x)-12 x+1 \)
and \( f(x)=(h(x))^{2} \), where \( h(0)=1 \).
Which one of the following does not hold good for \( y=h(x) ? \)
(a) Exactly one critical point
(b) No point of inflexion
(c) Exactly one real zero in \( (0,3) \)
(d) Exactly one tangent parallel to \( X \)-axis
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-10-27A particular substance is being cooled by a streem of cold air (temperature of the air is consta...
2022-10-27If the function \( f(x)=\frac{t+3 x-x^{2}}{x-4} \), where \( t \) is a parameter, has a minimum ...
2022-10-27Consider \( f \), \( g \) and \( h \) be three real valued differentiable functions defined on \...
2022-10-27The graph of \( y=f^{\prime \prime}(x) \) for a function \( f \) is shown. Number of points of i...
2022-10-27Number of positive integral values of \( a \) for which the curve \( y=a^{x} \) intersects the l...
2022-10-27Let \( f(x)=\left\{\begin{array}{cl}x^{3 / 5} & \text { if } x \leq 1 \\ -(x-2)^{3} & \text { if...
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...
2022-10-27The minimum value of \( \frac{\tan \left(x+\frac{\pi}{6}\right)}{\tan x} \) is
2022-10-27The figure shows a right triangle with its hypotenuse \( O B \) along the \( Y \)-axis and its v...
2022-10-27Consider \( f \), \( g \) and \( h \) be three real valued differentiable functions defined on \...
2022-10-27Consider \( f \), \( g \) and \( h \) be three real valued differentiable functions defined on \...
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...
2022-10-27Let \( f(x)=e^{(p+1) x}-e^{x} \) for real number \( p0 \), then Let \( g(t)=\int_{t}^{t+1} f(x) ...
2022-10-27Consider \( f \), g and \( h \) be three real valued functions defined on \( R \). Let \( f(x)=\...
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)=\...
2022-10-27Suppose you do not know the function \( f(x) \), however some information about \( f(x) \) is li...
2022-10-27For the following questions, choose the correct answers from the codes (a), (b), (c) and (d) def...
2022-10-27Let \( f(x)=e^{(p+1) x}-e^{x} \) for real number \( p0 \), then The value of \( x=s_{p} \) for w...
2022-10-27Suppose you do not know the function \( f(x) \), however some information about \( f(x) \) is li...



Tags:
pw