If \( T(x)=\left|\begin{array}{ccc}x^{2}-1 & \left(x^{3}+1\right) \...
If \( T(x)=\left|\begin{array}{ccc}x^{2}-1 & \left(x^{3}+1\right) \sin (x+1) & (x+1)\left(e^{x+1}-1\right) \\ 2^{x}-\frac{1}{2} & 0 & (x+1)^{2} \sqrt{x^{2}+x+1} \\ 0 & x^{6}-1 & 0\end{array}\right| \), then \( T^{\prime \prime \prime}(-1) \) is equal to :
\( \mathrm{P} \)
(a) 0
(b) -1
(c) \( \frac{1}{2} \ln 2 \)
(d) does not exist
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-03-21 | The value of integral \( \int e^{x}\left[\frac{2 \tan x}{1+\tan x}+... |
| 2023-03-21 | \[
\int \frac{\cos \alpha+\cos x+1}{\cos \alpha+\cos x} d x=a f(x)+... |
| 2023-03-21 | \( \int \frac{x d x}{x^{4}+x^{2}+1} \) equals
(a) \( \frac{2}{3} \t... |
| 2023-03-21 | Let \( g(x) \) is the only invertible function from \( R \rightarro... |
| 2023-03-21 | Let \( f(x)=\cos ^{-1}\left(2 x^{2}-1\right) \) then :
(a) \( f(x) ... |
| 2023-03-21 | If \( f(\theta)=\tan \left(\sin ^{-1} \sqrt{\frac{2}{3+\cos 2 \thet... |
| 2023-03-21 | Let \( f, g, f_{1}, f_{2}: R \rightarrow R \) be twice differentiab... |
| 2023-03-21 | Let \( g(x) \) is the only invertible function from \( R \rightarro... |
| 2023-03-21 | If \( f(x), g(x), h(x) \) are three polynomial functions of degree ... |
| 2023-03-21 | If \( f(x), g(x) \) and \( h(x) \) are three polynomials of degree ... |
| 2023-03-21 | If \( T(x)=\left|\begin{array}{ccc}x^{2}-1 & \left(x^{3}+1\right) \... |
| 2023-03-21 | Let \( f(\alpha)=\cos \left[\cot ^{-1}\left(\frac{\cos \alpha}{\sqr... |
| 2023-03-21 | Let \( f(x)=a x^{9}+b \sin x+c x^{2} \operatorname{sgn}(x)+\frac{\l... |
| 2023-03-21 | Let \( f: R \rightarrow R \) be a function defined as \( f(x)=\left... |
| 2023-03-21 | If \( f(x)=23-2^{-x^{2}+2 x+3} \forall x \in R \) and \( g(x)=\left... |
| 2023-03-21 | If for a differentiable function \( y=f(x),\left(f^{\prime}(x)0\rig... |
| 2023-03-21 | Let \( f(x)=\left\{\begin{array}{ll}|[x]|, & 0 \leq\{x\}\frac{1}{2}... |
| 2023-03-21 | Let \( X=\{1,2,3,4,5,6\} \) and \( a, c \) are natural numbers sele... |
| 2023-03-21 | Let \( f(x) \) be a continuous function satisfying \( f^{3}(x)-5 f^... |
| 2023-03-21 | Find the set of values of \( a \) for which the function \( f(x)=\l... |
| 2023-03-21 | If \( \alpha, \beta \) and \( \gamma \) be three distinct real valu... |
0