What is the derivative of sqrt(x)+5e^x ?

The derivative of sqrt(x)+5e^x is 1/(2sqrt(x))+5e^x

What is the first derivative of sqrt(x)+5e^x ?

The first derivative of sqrt(x)+5e^x is 1/(2sqrt(x))+5e^x

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\frac{d}{d x} (x + 5 e^{x})

\frac{1}{2 x} + 5 e^{x}

Solution steps

\frac{d}{d x} (x + 5 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (5 e^{x})

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (5 e^{x}) = 5 e^{x}

= \frac{1}{2 x} + 5 e^{x}

What is the derivative of sqrt(x)+5e^x ?
The derivative of sqrt(x)+5e^x is 1/(2sqrt(x))+5e^x
What is the first derivative of sqrt(x)+5e^x ?
The first derivative of sqrt(x)+5e^x is 1/(2sqrt(x))+5e^x