\require{AMSmath} Meer voorbeelden $ \eqalign{ & f(x) = - 3e^{x + 6} + x \cr & f'(x) = - 3e^{x + 6} \cdot 1 + 1 = - 3e^{x + 6} + 1 \cr & \cr & g(x) = \frac{x} {{e^{x} }} \cr & g'(x) = \frac{{1 \cdot e^{x} - x \cdot e^{x} }} {{\left( {e^{x} } \right)² }} = \frac{{1 - x}} {{e^{x} }} \cr & \cr & h(x) = xe^{x} + s \cr & h'(x) = 1 \cdot e^{x} + x \cdot e^{x} = \left( {1 + x} \right)e^{x} \cr} $ ©2004-2024 WisFaq
\require{AMSmath}
$ \eqalign{ & f(x) = - 3e^{x + 6} + x \cr & f'(x) = - 3e^{x + 6} \cdot 1 + 1 = - 3e^{x + 6} + 1 \cr & \cr & g(x) = \frac{x} {{e^{x} }} \cr & g'(x) = \frac{{1 \cdot e^{x} - x \cdot e^{x} }} {{\left( {e^{x} } \right)² }} = \frac{{1 - x}} {{e^{x} }} \cr & \cr & h(x) = xe^{x} + s \cr & h'(x) = 1 \cdot e^{x} + x \cdot e^{x} = \left( {1 + x} \right)e^{x} \cr} $
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