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What is the derivative of $f (x) = sin ({log}_{2} (x))$ $f(x)=sin(log_2(x))$ ?

1 Answer

Sep 22, 2014

By Chain Rule,

$f'(x)=cos(log_2x)cdot1/{(ln2)x}={cos(log_2x)}/{(ln2)x}$

Note: $(log_bx)'=1/{(lnb)x}$

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