What is the derivative of f(x)=2x-(e^x)/2 ?

The derivative of f(x)=2x-(e^x)/2 is 2-1/2 e^x

What is the first derivative of f(x)=2x-(e^x)/2 ?

The first derivative of f(x)=2x-(e^x)/2 is 2-1/2 e^x

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derivative of

f (x) = 2 x - \frac{e ^{x}}{2}

2 - \frac{1}{2} e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 - \frac{1}{2} e^{x}

\int_{π}^{\infty} \frac{4}{x ^{2}} d x

y^{^{''}} + 2 y^{^{'}} + y = (3 x + 4) e^{3 x}

f (x) = x^{5} - x^{3} + 3

y = x^{4} + 9 e^{x}, (0, 9)

9 x e^{- k x}

What is the derivative of f(x)=2x-(e^x)/2 ?
The derivative of f(x)=2x-(e^x)/2 is 2-1/2 e^x
What is the first derivative of f(x)=2x-(e^x)/2 ?
The first derivative of f(x)=2x-(e^x)/2 is 2-1/2 e^x