If-f-x-sin-4-3x-f-pi-12-

Question Number 150186 by mathdanisur last updated on 10/Aug/21

If f (x) = \sin^{4} (3 x) \Rightarrow f^{^{'}} (\frac{π}{12}) = ?

Answered by puissant last updated on 10/Aug/21

f^{'} (x) = 4 \times 3 \cos (3 x) \sin^{3} (3 x)

\Rightarrow f^{'} (x) = 12 \cos (3 x) \sin^{3} (3 x)

f^{'} (\frac{π}{12}) = 12 \times \frac{\sqrt{2}}{2} \times {(\frac{\sqrt{2}}{2})}^{3} = 12 {(\frac{\sqrt{2}}{2})}^{4} = 12 (\frac{4}{16})

f^{'} (\frac{π}{12}) = 3 \dots

Commented by mathdanisur last updated on 10/Aug/21

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