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Home › AP EAPCET (Engineering) › Mathematics › Differentiation Rules › Find d/dx (2^(3x)).

Find d/dx (2^(3x)).

A3x · 2^(3x-1)
B3 · 2^(3x)
C3 · 2^(3x) ln 2
D2^(3x) ln 2
Answer & Solution
Correct answer: C. 3 · 2^(3x) ln 2
Using d/dx c^(ax) = a c^(ax) ln c with c = 2 and a = 3 gives 3 · 2^(3x) ln 2.
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