The function f(x)=2sin x-ex,∀ x∈ [0 , π ] has

Question

The function f(x)=2sin x-ex,∀ x∈ [0 , π ] has (A) no local maximum (B) 2 local minima (C) 1 local maximum (D) 1 local minimum

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/m-0rghbe2ks2by.png" /> f' (x) = 2 cos x - ex ∴ f(x) has a local maximum

Q. The function $f (x) = 2 s in x - e^{x}, \forall x \in [0, π]$ has

no local maximum

$2$ local minima

$1$ local maximum

$1$ local minimum

$f^{^{'}} (x) = 2 cos x - e^{x}$
$∴ f (x)$ has a local maximum

Q. The function f(x)=2sinx−ex,∀x∈[0,π] has

no local maximum

2 local minima

1 local maximum

1 local minimum

f′(x)=2cosx−ex ∴f(x) has a local maximum

Q. The function $f (x) = 2 s in x - e^{x}, \forall x \in [0, π]$ has

$2$ local minima

$1$ local maximum

$1$ local minimum

$f^{^{'}} (x) = 2 cos x - e^{x}$
$∴ f (x)$ has a local maximum