What is the derivative of e^{6/x} ?

The derivative of e^{6/x} is -(6e^{6/x})/(x^2)

What is the first derivative of e^{6/x} ?

The first derivative of e^{6/x} is -(6e^{6/x})/(x^2)

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derivative of

e^{\frac{6}{x}}

- \frac{6 e ^{\frac{6}{x}}}{x ^{2}}

Solution steps

\frac{d}{d x} (e^{\frac{6}{x}})

Apply the chain rule:

e^{\frac{6}{x}} \frac{d}{d x} (\frac{6}{x})

= e^{\frac{6}{x}} \frac{d}{d x} (\frac{6}{x})

\frac{d}{d x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

= e^{\frac{6}{x}} (- \frac{6}{x ^{2}})

Simplify

e^{\frac{6}{x}} (- \frac{6}{x ^{2}}) : - \frac{6 e ^{\frac{6}{x}}}{x ^{2}}

= - \frac{6 e ^{\frac{6}{x}}}{x ^{2}}

x \to 3.01 lim (x^{2} + 3 x)

x \frac{d y}{d x} = 2 x e^{x^{2}} - y + 6 x^{2}

y^{^{'}} + y - 3 cos (x) = 0

\frac{d y}{d x}, x^{5} + y^{5} = 35 x y

\frac{\partial}{\partial y} (e^{- 1 x} cos (6 y))

What is the derivative of e^{6/x} ?
The derivative of e^{6/x} is -(6e^{6/x})/(x^2)
What is the first derivative of e^{6/x} ?
The first derivative of e^{6/x} is -(6e^{6/x})/(x^2)