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

MCQ

If $y=a e^x+b e^{-x}+c$, where $a, b, c$ are parameters, then $y^{\prime}$ is equal to

✓
$a e^x-b e^{-x}$
B
$a e^x+b e^{-x}$
C
$-\left(a e^x+b e^{-x}\right)$
D
$a e^x-b e^x$

✓

Answer

Correct option: A.

$a e^x-b e^{-x}$

(a) : $y=a e^x+b e^{-x}+c$
Differentiating w.r.t. $x$, we get
$
y^{\prime}=a e^x-b e^{-x}
$

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