If \[f(x)={{\left( \frac{{{\sin }^{m}}x}{{{\sin }^{n}}x} \right)}^{m+n}}.{{\left( \frac{{{\sin }^{n}}x}{{{\sin }^{p}}x} \right)}^{n+p}}.{{\left( \frac{{{\sin }^{p}}\,x}{{{\sin }^{m}}x} \right)}^{p+m}}\] Then \[f'(x)\]is equal to

If \[f(x)={{\left( \frac{{{\sin }^{m}}x}{{{\sin }^{n}}x} \right)}^{m+n

1.	If \[f(x)={{\left( \frac{{{\sin }^{m}}x}{{{\sin }^{n}}x} \right)}^{m+n}}.{{\left( \frac{{{\sin }^{n}}x}{{{\sin }^{p}}x} \right)}^{n+p}}.{{\left( \frac{{{\sin }^{p}}\,x}{{{\sin }^{m}}x} \right)}^{p+m}}\] Then \[f'(x)\]is equal to
A.	0
B.	1
C.	\[{{\cos }^{m+n+px}}\]
D.	None of these
Answer» B. 1

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If \[f(x)={{\left( \frac{{{\sin }^{m}}x}{{{\sin }^{n}}x} \right)}^{m+n}}.{{\left( \frac{{{\sin }^{n}}x}{{{\sin }^{p}}x} \right)}^{n+p}}.{{\left( \frac{{{\sin }^{p}}\,x}{{{\sin }^{m}}x} \right)}^{p+m}}\] Then \[f'(x)\]is equal to

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