What is the derivative of cos(e^{3x}-sin(e^{3x})) ?

The derivative of cos(e^{3x}-sin(e^{3x})) is -sin(e^{3x})e^{3x}*3-cos(e^{3x})e^{3x}*3

What is the first derivative of cos(e^{3x}-sin(e^{3x})) ?

The first derivative of cos(e^{3x}-sin(e^{3x})) is -sin(e^{3x})e^{3x}*3-cos(e^{3x})e^{3x}*3

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Popular >

\frac{d}{d x} (cos (e^{3 x}) - sin (e^{3 x}))

- sin (e^{3 x}) e^{3 x} \cdot 3 - cos (e^{3 x}) e^{3 x} \cdot 3

Solution steps

\frac{d}{d x} (cos (e^{3 x}) - sin (e^{3 x}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (e^{3 x})) - \frac{d}{d x} (sin (e^{3 x}))

\frac{d}{d x} (cos (e^{3 x})) = - sin (e^{3 x}) e^{3 x} \cdot 3

\frac{d}{d x} (sin (e^{3 x})) = cos (e^{3 x}) e^{3 x} \cdot 3

= - sin (e^{3 x}) e^{3 x} \cdot 3 - cos (e^{3 x}) e^{3 x} \cdot 3

\int 5 sin (x) ln (sin (x)) d x

n = 0 \sum \infty n^{0.5}

\int (\frac{x}{x}) d x

\frac{\partial}{\partial x} ((2 x)^{x})

\frac{d}{d x} ((tan (x)) d x)

What is the derivative of cos(e^{3x}-sin(e^{3x})) ?
The derivative of cos(e^{3x}-sin(e^{3x})) is -sin(e^{3x})e^{3x}*3-cos(e^{3x})e^{3x}*3
What is the first derivative of cos(e^{3x}-sin(e^{3x})) ?
The first derivative of cos(e^{3x}-sin(e^{3x})) is -sin(e^{3x})e^{3x}*3-cos(e^{3x})e^{3x}*3