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If f(x)=sinx then find (fofof)(a) where a belongs to [0, pi/2] and d/dx(fofof)^x |x=a

If f(x)=sinx then find (fofof)(a) where a belongs to [0, pi/2]
and d/dx(fofof)^x |x=a

Grade:11

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
4 months ago
Dear Student

f(x)=sinx then
(fofof)(a) = sin(sin(sin(a)))

d/dx(fofof)^x |x=a= cos(sin(sin a))* cos(sin a) * cos a

Thanks

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