What is the derivative of $log_4^(x^2)$ ?

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Answer 1 · 2015-07-18T00:25:31

Assuming you mean:

$y = log_4(x^2)$

rather than:

$log_4^(x^2)(x)$ (why would you mean that??)

Change of Base law:
$y = (lnx^2)/(ln4)$

Now take the derivative:

$(dy)/(dx) = 1/ln4d/(dx)[lnx^2] = 1/ln4*1/(x^2)*2x$

$(dy)/(dx) = color(blue)(2/(xln4))$

What is the derivative of log_4^(x^2)log_4^(x^2)?