What is the derivative of y=sin(e^{2x}) ?

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

What is the first derivative of y=sin(e^{2x}) ?

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

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derivative of

y = sin (e^{2 x})

cos (e^{2 x}) e^{2 x} \cdot 2

Solution steps

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

Apply the chain rule:

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

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

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

= cos (e^{2 x}) e^{2 x} \cdot 2

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