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}

x \to 2 - lim (\frac{1}{x + 2})

\frac{d}{d x} (- \frac{1}{cos ^{2} ( x )})

\int_{0}^{\frac{π}{18}} cos (9 x) d x

\int 11 tan^{3} (x) d x

\frac{d}{d x} (ln (x^{4} - 4 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