135/MR00. problem / Math - Solved Math Problems

MR-135 / 135. problem

Determine the first derivative of the following function:

$y = 10 e^{x} - 6 e^{2 x}$

$y = 10 e^{x} - 6 e^{2 x}$

$g (x) = 2 x$

$g^{'} (x) = 2$

$y = 10 e^{x} - 6 e^{g (x)}$

$y^{'} = 10 \cdot e^{x} - 6 \cdot e^{g (x)} \cdot g^{'} (x)$

$y^{'} = 10 \cdot e^{x} - 6 \cdot e^{2 x} \cdot 2$

$y^{'} = 10 e^{x} - 12 e^{2 x}$

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