What is the derivative of $f(x)= 2^(3x)$ ?

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Answer 1 · 2015-04-07T06:58:09

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$d/dx(a^x) = a^xlog(a)$
$f(t) = 2^t$ where $t=3x$
$(d(f(x)))/dx=d/dt(f(t))*dt/dx$

$(d(f(x)))/dx = 2^tlog2*3$

$f'(x) = 2^(3x) log2*3$

What is the derivative of f(x)= 2^(3x)f(x)= 2^(3x)?