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Mathematics
The function f(x)=2sin x-ex,∀ x∈ [0 , π ] has
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Q. The function $f\left(x\right)=2sin x-e^{x},\forall x\in \left[0 , \pi \right]$ has
NTA Abhyas
NTA Abhyas 2020
Application of Derivatives
A
no local maximum
19%
B
$2$ local minima
37%
C
$1$ local maximum
31%
D
$1$ local minimum
12%
Solution:
$f^{'} \left(x\right) = 2 cos x - e^{x}$
$\therefore f\left(x\right)$ has a local maximum