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

The derivative of e^x+sin(x) is e^x+cos(x)

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

The first derivative of e^x+sin(x) is e^x+cos(x)

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

e^{x} + cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (sin (x)) = cos (x)

= e^{x} + cos (x)

\int \frac{u}{u} d u

\frac{d y}{d x} + 4 y = 9

\frac{d}{d x} (\frac{x - 2}{9 x ^{2} e ^{x}})

\frac{\partial}{\partial x} (8 ln (\frac{3 x y}{5 z}))

\int (e^{t} - 4 16 t + \frac{3}{t ^{3}}) d t

What is the derivative of e^x+sin(x) ?
The derivative of e^x+sin(x) is e^x+cos(x)
What is the first derivative of e^x+sin(x) ?
The first derivative of e^x+sin(x) is e^x+cos(x)