What is the derivative of sqrt(3/x)-e^4 ?

The derivative of sqrt(3/x)-e^4 is -(sqrt(3))/(2x^{3/2)}

What is the first derivative of sqrt(3/x)-e^4 ?

The first derivative of sqrt(3/x)-e^4 is -(sqrt(3))/(2x^{3/2)}

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derivative of

\frac{3}{x} - e^{4}

- \frac{3}{2 x ^{\frac{3}{2}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3}{x}) - \frac{d}{d x} (e^{4})

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

\frac{d}{d x} (e^{4}) = 0

= - \frac{3}{2 x ^{\frac{3}{2}}} - 0

Simplify

= - \frac{3}{2 x ^{\frac{3}{2}}}

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

\frac{\partial}{\partial v} (u (v, w) + v \cdot e^{w})

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

p (x) = x^{4} - 3 x^{3} + 10 x^{2} - 6 x - 20

\int \frac{1}{( 3 - x ) ^{2}} d x

What is the derivative of sqrt(3/x)-e^4 ?
The derivative of sqrt(3/x)-e^4 is -(sqrt(3))/(2x^{3/2)}
What is the first derivative of sqrt(3/x)-e^4 ?
The first derivative of sqrt(3/x)-e^4 is -(sqrt(3))/(2x^{3/2)}