What is the derivative of e^x*2^x ?

The derivative of e^x*2^x is e^x*2^x+2^xln(2)e^x

What is the first derivative of e^x*2^x ?

The first derivative of e^x*2^x is e^x*2^x+2^xln(2)e^x

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

e^{x} \cdot 2^{x} + 2^{x} ln (2) e^{x}

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = 2^{x}

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

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

\frac{d}{d x} (2^{x}) = 2^{x} ln (2)

= e^{x} \cdot 2^{x} + 2^{x} ln (2) e^{x}

x \to 0 lim (\frac{e ^{x} - 1}{sin ( 4 x )})

e^{- t} sin (t)

\frac{\partial}{\partial x} (6 y - 2 x)

- \frac{3}{x ^{4}}

y = 25 - x^{2}, (3, 4)

What is the derivative of e^x*2^x ?
The derivative of e^x*2^x is e^x*2^x+2^xln(2)e^x
What is the first derivative of e^x*2^x ?
The first derivative of e^x*2^x is e^x*2^x+2^xln(2)e^x