What is the derivative of sin(e^{4x}) ?

The derivative of sin(e^{4x}) is cos(e^{4x})e^{4x}*4

What is the first derivative of sin(e^{4x}) ?

The first derivative of sin(e^{4x}) is cos(e^{4x})e^{4x}*4

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derivative of

sin (e^{4 x})

cos (e^{4 x}) e^{4 x} \cdot 4

Solution steps

\frac{d}{d x} (sin (e^{4 x}))

Apply the chain rule:

cos (e^{4 x}) \frac{d}{d x} (e^{4 x})

= cos (e^{4 x}) \frac{d}{d x} (e^{4 x})

\frac{d}{d x} (e^{4 x}) = e^{4 x} \cdot 4

= cos (e^{4 x}) e^{4 x} \cdot 4

\frac{d}{d x} (\frac{1 - x e ^{x}}{x + e ^{x}})

y = e^{x}, y = x, x = 0, x = 2

\int \frac{( x ^{2} + 1 )}{( x - 5 ) ( x - 4 ) ^{2}} d x

\frac{d}{d x} (- \frac{1}{2 ( 1 + x ) ^{\frac{3}{2}}})

What is the derivative of sin(e^{4x}) ?
The derivative of sin(e^{4x}) is cos(e^{4x})e^{4x}*4
What is the first derivative of sin(e^{4x}) ?
The first derivative of sin(e^{4x}) is cos(e^{4x})e^{4x}*4