What is the derivative of cos(e^{2x}) ?

The derivative of cos(e^{2x}) is -sin(e^{2x})e^{2x}*2

What is the first derivative of cos(e^{2x}) ?

The first derivative of cos(e^{2x}) is -sin(e^{2x})e^{2x}*2

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

- sin (e^{2 x}) e^{2 x} \cdot 2

Solution steps

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

Apply the chain rule:

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

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

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

= - sin (e^{2 x}) e^{2 x} \cdot 2

9 x - 8 x

(\frac{ln ^{2} ( x )}{x})^{^{'}}

x \to 2 lim (cos (x - 2))

x \to \infty lim (1 + \frac{x}{2})

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

What is the derivative of cos(e^{2x}) ?
The derivative of cos(e^{2x}) is -sin(e^{2x})e^{2x}*2
What is the first derivative of cos(e^{2x}) ?
The first derivative of cos(e^{2x}) is -sin(e^{2x})e^{2x}*2