If y = a e^x + b e^ - x + c where a,b,c are parameters then y''' … - Vidyadip

MCQ

If $y = a{e^x} + b{e^{ - x}} + c$ where $a,b,c$ are parameters then $y''' = $

A
$y$
✓
$y'$
C
$0$
D
$y''$

✓

Answer

Correct option: B.

$y'$

b
(b) $y = a{e^x} + b{e^{ - x}} + c$ ==> $y' = a{e^x} - b{e^{ - x}}$

==> $y'' = a{e^x} + b{e^{ - x}}$ ==>$y''' = a{e^x} - b{e^{ - x}} = y'$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 12 - 5. continuity and differentiation→STD 12 - 5. continuity and differentiation — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

Write the function in the simplest form: $\tan ^{-1} \frac{x}{\sqrt{a^{2}-x^{2}}},|x| < a$

The point on the curve $y = 6x - x^2$ at which the tangent to the curve is inclined at $\frac{\pi}{4}$ to the line $x + y = 0$ is :

Which of the following is not true about feasibility?

$\tan^{-1}1+\cos^{-1}\Big(\frac{-1}{2}\Big)+\sin^{-1}\Big(\frac{-1}{2}\Big)$

If $a,b,c$ and $d $ are complex numbers, then the determinant $\Delta = \left| {\,\begin{array}{*{20}{c}}2&{a + b + c + d}&{ab + cd}\\{a + b + c + d}&{2(a + b)(c + d)}&{ab(c + d) + cd(a + b)}\\{ab + cd}&{ab(c + d) + cd(a + d)}&{2abcd}\end{array}} \right|$is

If $\text{f}\text{(x)}=\sqrt{\text{x}^2-10\text{x}+25},$ then the derivative of $f(x)$ in the intereval $[0, 7]$ is :

In order that the function $f(x) = {(x + 1)^{1/x}}$ is continuous at $x = 0$, $f(0)$ must be defined as

Point (4, 0) lies on ________?

A function $f$ satisfies the relation

$f(x) = f''(x) + f'''(x) + .......\infty $ where $f(x)$ is a differentiable function indefinitely. If $f(1) = 5$ , then the value of $f'(1) + f''(1)$ is equal to

$\int {\frac{{\sec \,x.\cos ec \,x}}{{2\cot \,x - \sec x\,\cos ec \,x}}dx} $ is (Where $c$ is integral constant)