A) \[\frac{\pi }{4}\]
B) \[\frac{\pi }{2}\]
C) \[\pi \]
D) \[\frac{3\pi }{2}\]
Correct Answer: A
Solution :
[a] Given \[f(x)={{e}^{x}}\sin x\] \[\Rightarrow f'(x)={{e}^{x}}\cos x+{{e}^{x}}\sin x\] \[\Rightarrow slope={{e}^{x}}(\cos x+\sin x)\] Now, \[\frac{d}{dx}(\cos x+\sin x)=0\] \[\Rightarrow -\sin x+\cos x=0\] \[\Rightarrow \sin x=\cos x\Rightarrow \tan x=1\] \[\Rightarrow x=\frac{\pi }{4}\]
You need to login to perform this action.
You will be redirected in
3 sec
