If $$r={{[2\varphi +{{\cos }^{2}}(2\varphi +\pi /4)]}^{1/2}}$$ then what is the value of the derivative of $$dr/d\varphi $$ at $$\varphi =\pi /4$$ [Orissa JEE 2005]

Question

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$$2\,{{\left( \frac{1}{\pi +1} \right)}^{1/2}}$$

TuteeHUB · Answer

$$2\,{{\left( \frac{2}{\pi +1} \right)}^{-1/2}}$$

TuteeHUB · Answer

$$2\,{{\left( \frac{1}{\pi +1} \right)}^{-1/2}}$$

TuteeHUB · Answer

$$2\,{{\left( \frac{2}{\pi +1} \right)}^{1/2}}$$

1.	If \[r={{[2\varphi +{{\cos }^{2}}(2\varphi +\pi /4)]}^{1/2}}\] then what is the value of the derivative of \[dr/d\varphi \] at \[\varphi =\pi /4\] [Orissa JEE 2005]
A.	\[2\,{{\left( \frac{1}{\pi +1} \right)}^{1/2}}\]
B.	\[2\,{{\left( \frac{2}{\pi +1} \right)}^{-1/2}}\]
C.	\[2\,{{\left( \frac{1}{\pi +1} \right)}^{-1/2}}\]
D.	\[2\,{{\left( \frac{2}{\pi +1} \right)}^{1/2}}\]
Answer» E.

If \[r={{[2\varphi +{{\cos }^{2}}(2\varphi +\pi /4)]}^{1/2}}\] then what is the value of the derivative of \[dr/d\varphi \] at \[\varphi =\pi /4\] [Orissa JEE 2005]

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