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

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

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

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

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derivative of

y = sin (e^{2} x)

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

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

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