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Popular >

derivative of y=e^x10^x

Solution

derivative of

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

Solution

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}

Popular Examples

integral of 1/(sqrt(25+9x^2))

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

integral of e^{-st}sin(4t)

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

integral of 2/(1+tan(x))

\int \frac{2}{1 + tan ( x )} d x

integral from 4 to 8 of t^4ln(3t)

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

derivative of f(x)=x(2-x)^2 derivative of

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

Frequently Asked Questions (FAQ)

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