What is the derivative of y=e^x10^x ?

The derivative of y=e^x10^x is e^x*10^x+10^xln(10)e^x

What is the first derivative of y=e^x10^x ?

The first derivative of y=e^x10^x is e^x*10^x+10^xln(10)e^x

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derivative of

y = e^{x} 1 0^{x}

e^{x} \cdot 1 0^{x} + 1 0^{x} ln (10) e^{x}

Solution steps

\frac{d}{d x} (e^{x} \cdot 1 0^{x})

Apply the Product Rule:

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

f = e^{x}, g = 1 0^{x}

= \frac{d}{d x} (e^{x}) 1 0^{x} + \frac{d}{d x} (1 0^{x}) e^{x}

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

\frac{d}{d x} (1 0^{x}) = 1 0^{x} ln (10)

= e^{x} \cdot 1 0^{x} + 1 0^{x} ln (10) e^{x}

\int \frac{1}{25 + 9 x ^{2}} d x

\int e^{- s t} sin (4 t) d t

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\int_{4}^{8} t^{4} ln (3 t) d t

f (x) = x (2 - x)^{2}

What is the derivative of y=e^x10^x ?
The derivative of y=e^x10^x is e^x*10^x+10^xln(10)e^x
What is the first derivative of y=e^x10^x ?
The first derivative of y=e^x10^x is e^x*10^x+10^xln(10)e^x