If \(f\left( x \right) = \frac{{{{\cos }^2}x}}{{1 + {{\sin }^2}x}}\), then the value \(f\left( {\frac{\pi }{4}} \right) - 3f'\left( {\frac{\pi }{4}} \right)\) is

If \(f\left( x \right) = \frac{{{{\cos }^2}x}}{{1 + {{\sin }^2}x}}\),

1.	If \(f\left( x \right) = \frac{{{{\cos }^2}x}}{{1 + {{\sin }^2}x}}\), then the value \(f\left( {\frac{\pi }{4}} \right) - 3f'\left( {\frac{\pi }{4}} \right)\) is
A.	0
B.	1
C.	3
D.	4
Answer» D. 4

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If \(f\left( x \right) = \frac{{{{\cos }^2}x}}{{1 + {{\sin }^2}x}}\), then the value \(f\left( {\frac{\pi }{4}} \right) - 3f'\left( {\frac{\pi }{4}} \right)\) is

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