What is the derivative of e^{0.5x} ?

The derivative of e^{0.5x} is e^{0.5x}*0.5

What is the first derivative of e^{0.5x} ?

The first derivative of e^{0.5x} is e^{0.5x}*0.5

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\frac{d}{d x} (e^{0.5 x})

e^{0.5 x} \cdot 0.5

Solution steps

\frac{d}{d x} (e^{0.5 x})

Apply the chain rule:

e^{0.5 x} \frac{d}{d x} (0.5 x)

= e^{0.5 x} \frac{d}{d x} (0.5 x)

\frac{d}{d x} (0.5 x) = 0.5

= e^{0.5 x} \cdot 0.5

\frac{d}{d x} (\frac{4 x ^{3} - 5 x ^{2}}{3 x ^{2} - 4})

\int_{- 1}^{1} (20 - 12 x)^{- 1} d x

\int \frac{( sin ( 2 x ) )}{e ^{x}} d x

\int \frac{( x ^{2} + 5 x + 1 )}{( x ^{2} + 1 ) ^{2}} d x

x (4 - x)^{3}

What is the derivative of e^{0.5x} ?
The derivative of e^{0.5x} is e^{0.5x}*0.5
What is the first derivative of e^{0.5x} ?
The first derivative of e^{0.5x} is e^{0.5x}*0.5