Let \(f:[0,1] \rightarrow R\) be a twice differentiable function in \((0,1)\) such that \(f(0)=3.... VIDEO
Let \(f:[0,1] \rightarrow R\) be a twice differentiable function in \((0,1)\) such that \(f(0)=3\) and \(f(1)=5\). If the line \(y=2 x+3\) intersects the graph of \(f\) at only two distinct points in \((0,1)\), then the least number of points \(x \in(0,1)\), at which \(f^{\prime \prime}(x)=0\), is........ 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-06-29 A wire of length \(22 m\) is to be cut into two pieces. One of the pieces is to be made into a s.... 2024-06-29 Let \(x=2\) be a local minima of the function \(f(x)=2 x^4-18 x^2\) \(+8 x+12, x \in(-4,4)\). If.... 2024-06-29 Let the function \(f(x)=2 x^3+(2 p-7) x^2+3(2 p-9) x-6\) have a maxima for some value of \(x<.... 2024-06-29 Let \(f:(0,1) \rightarrow \mathrm{R}\) be a function defined by \(f(x)=\frac{1}{1-e^{-x}}\) and .... 2024-06-29 Let \(f: R \rightarrow R\) be given by \(f(x)=(x-1)(x-2)(x-5)\). Define \(F(x)=\int_0^x f(t) d t.... 2024-06-29 Let us consider a curve, \(y=f(x)\) passing through the point \((-2,2)\) and the slope of the ta.... 2024-06-29 Let \(\lambda^*\) be the largest value of \(\lambda\) for which the function \(f_\lambda(x)=4 \l.... 2024-06-29 Let \(f: R \rightarrow R\) and \(g: R \rightarrow R\) be two functions defined by \(f(x)=\log _e.... 2024-06-29 The function, \(f(x)=(3 x-7) x^{2 / 3}, x \in R\), is increasing for all \(x\) lying in:.... 2024-06-29 For \(x \in \mathbb{R}\), let \(\tan ^{-1}(x) \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\). T.... 2024-06-29 Let \(f:[0,1] \rightarrow R\) be a twice differentiable function in \((0,1)\) such that \(f(0)=3.... 2024-06-29 In Friedel-Crafts alkylation of aniline, one gets:.... 2024-06-29 Xylem translocates..... 2024-06-29 .... 2024-06-29 The anatomy of springwood shows some peculiar features. Identify the correct set of statements a.... 2024-06-29 Match List-I with List-II.
Choose the correct answer from the options given below:.... 2024-06-29 Which statement is NOT correct for p-toluenesulphonyl chloride?.... 2024-06-29 Which of the following is not a correct statement for primary aliphatic amines?.... 2024-06-29 To light, a \(50 W , 100 V\) lamp is connected, in series with a capacitor of capacitance \(\fra.... 2024-06-29 A primary aliphatic amine on reaction with nitrous acid in cold (273 K) and there afte.... 2024-06-29 The reaction of \(\mathrm{R}-\mathrm{CONH}_2\) with bromine and \(\mathrm{KOH}\) gives \(\mathrm....