What is the derivative of e^{x/2}+4x ?

The derivative of e^{x/2}+4x is e^{x/2} 1/2+4

What is the first derivative of e^{x/2}+4x ?

The first derivative of e^{x/2}+4x is e^{x/2} 1/2+4

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\frac{d}{d x} (e^{\frac{x}{2}} + 4 x)

e^{\frac{x}{2}} \frac{1}{2} + 4

Solution steps

\frac{d}{d x} (e^{\frac{x}{2}} + 4 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{\frac{x}{2}}) + \frac{d}{d x} (4 x)

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

\frac{d}{d x} (4 x) = 4

= e^{\frac{x}{2}} \frac{1}{2} + 4

\int_{0}^{4.5} 100 x d x

4 x^{2} - 2 x, at x = - 1

\frac{1}{( 1 + x ) ^{2}}

x y^{^{'}} = 2 x^{2} + y, y (1) = 3

\frac{d}{d x} (cos (3 ln (x)))

What is the derivative of e^{x/2}+4x ?
The derivative of e^{x/2}+4x is e^{x/2} 1/2+4
What is the first derivative of e^{x/2}+4x ?
The first derivative of e^{x/2}+4x is e^{x/2} 1/2+4