What is (\partial)/(\partial x)(w/((-2*k*T/x))) ?

The answer to (\partial)/(\partial x)(w/((-2*k*T/x))) is -w/(2kT)

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(\partial)/(\partial x)(w/((-2kT/x)))

\frac{\partial}{\partial x} (\frac{w}{( - 2 \cdot k \cdot \frac{T}{x} )})

- \frac{w}{2 k T}

Solution steps

\frac{\partial}{\partial x} (\frac{w}{( - 2 k \frac{T}{x} )})

Simplify

\frac{w}{( - 2 k \frac{T}{x} )} : - \frac{w x}{2 k T}

= \frac{\partial}{\partial x} (- \frac{w x}{2 k T})

Treat

k, w, T

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{w}{2 k T} \frac{\partial}{\partial x} (x)

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= - \frac{w}{2 k T} \cdot 1

Simplify

= - \frac{w}{2 k T}

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

\int_{1}^{3} x x^{2} + 1 d x

\frac{d}{d y} (3)

\frac{d}{d x} (x 5 - x)

What is (\partial)/(\partial x)(w/((-2*k*T/x))) ?
The answer to (\partial)/(\partial x)(w/((-2*k*T/x))) is -w/(2kT)