If f(2010) = π/2, f(2x) = f(x)Vx E R and f(x) is continuous for x E R, then the value of cos(f(x))-cos(f(x)) sin²x limx→ (A) 1/4 is Limx→n/2 (B) 1 TT- COSX (C) 0 (D) None of these

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A: We have to find

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A:

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A: Given that f(x)= sinx and g(x)=x2. And we find (g0f)'(x). We know that d(xn)/dx = nxn-1.     Here i…

Q: Find f(x).

A: Given,

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A:

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A:

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A:

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A: The answer of above solution is option A. i.e true.

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A:

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A:

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A:

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A: Given,  g(x)=x3cos(πx)

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A:

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A:

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A:

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A:

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A: To find f if f"x=2+cosx, f0=10, fπ2=-5. Solution: We have, f"x=2+cosx Integrating both sides, we get…

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A: