138/MR00. problem / Math - Solved Math Problems

MR-138 / 138. problem

Determine the first derivative of the following function:

$y = 2 a^{x} + a^{3 x} + \frac{1}{4} a^{- x}$

$y = 2 a^{x} + a^{3 x} + \frac{1}{4} a^{- x}$

$y^{'} = 2 a^{x} \ln a + 3 a^{3 x} l n a - \frac{1}{4} a^{- x} l n a$

$y^{'} = \ln a (2 a^{x} + 3 a^{3 x} - \frac{1}{4} a^{- x})$

$y^{'} = \ln a (2 a^{x} + 3 a^{3 x} - \frac{1}{4 a^{x}})$

MathReference - Problems