If ( f(x)=e^{3 x} ), find ( f^{prime}left[ln left(frac{1}{4} ight) ight] ). ( f^{prime}left[ln left(frac{1}{4} ight) ight]= ) ( square ) (Type an integer or a fraction.)
Added by Victor A.
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To do this, we use the rule for the derivative of an exponential function, which states that if \( f(x) = e^{u(x)} \), then \( f'(x) = u'(x) \cdot e^{u(x)} \). In our case, \( u(x) = 3x \), so \( u'(x) = 3 \). Show more…
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