What is the derivative of e^{2x}-x ?

The derivative of e^{2x}-x is e^{2x}*2-1

What is the first derivative of e^{2x}-x ?

The first derivative of e^{2x}-x is e^{2x}*2-1

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\frac{d}{d x} (e^{2 x} - x)

e^{2 x} \cdot 2 - 1

Solution steps

\frac{d}{d x} (e^{2 x} - x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{2 x}) - \frac{d x}{d x}

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

\frac{d x}{d x} = 1

= e^{2 x} \cdot 2 - 1

(\frac{1}{x ^{4}})^{^{'}}

f (x) = arccos (e^{2 x})

\frac{\partial}{\partial x} (4 - x^{4} + 2 x^{2} - y^{2})

\frac{\partial}{\partial x} (4 x - 2 y^{2} + z^{2})

What is the derivative of e^{2x}-x ?
The derivative of e^{2x}-x is e^{2x}*2-1
What is the first derivative of e^{2x}-x ?
The first derivative of e^{2x}-x is e^{2x}*2-1