What is the derivative of 3(e^x+e^xx) ?

The derivative of 3(e^x+e^xx) is 3(e^xx+2e^x)

What is the first derivative of 3(e^x+e^xx) ?

The first derivative of 3(e^x+e^xx) is 3(e^xx+2e^x)

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derivative of

3 (e^{x} + e^{x} x)

3 (e^{x} x + 2 e^{x})

Solution steps

\frac{d}{d x} (3 (e^{x} + e^{x} x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (e^{x} + e^{x} x)

Apply the Sum/Difference Rule:

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

= 3 (\frac{d}{d x} (e^{x}) + \frac{d}{d x} (e^{x} x))

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

\frac{d}{d x} (e^{x} x) = e^{x} x + e^{x}

= 3 (e^{x} + e^{x} x + e^{x})

Simplify

= 3 (e^{x} x + 2 e^{x})

\frac{d}{d θ} (6 cos (θ) + 8 sin (θ))

\frac{d y}{d x} = \frac{( 2 x sec ( \frac{y}{x} ) + y )}{x}

\frac{d y}{d x} + \frac{8 y}{x + 2} = (x + 2)^{6}

\frac{d}{d x} (3 tan (x) + e^{2 x})

\int_{0}^{3} 4 x d x

What is the derivative of 3(e^x+e^xx) ?
The derivative of 3(e^x+e^xx) is 3(e^xx+2e^x)
What is the first derivative of 3(e^x+e^xx) ?
The first derivative of 3(e^x+e^xx) is 3(e^xx+2e^x)