What is the derivative of f(x)=6e^{x^{-5}} ?

The derivative of f(x)=6e^{x^{-5}} is -(30e^{1/(x^5)})/(x^6)

What is the first derivative of f(x)=6e^{x^{-5}} ?

The first derivative of f(x)=6e^{x^{-5}} is -(30e^{1/(x^5)})/(x^6)

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derivative of

f (x) = 6 e^{x^{- 5}}

- \frac{30 e ^{\frac{1}{x ^{5}}}}{x ^{6}}

Solution steps

\frac{d}{d x} (6 e^{x^{- 5}})

Take the constant out:

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

= 6 \frac{d}{d x} (e^{x^{- 5}})

Apply the chain rule:

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

= e^{x^{- 5}} \frac{d}{d x} (x^{- 5})

\frac{d}{d x} (x^{- 5}) = - \frac{5}{x ^{6}}

= 6 e^{x^{- 5}} (- \frac{5}{x ^{6}})

Simplify

6 e^{x^{- 5}} (- \frac{5}{x ^{6}}) : - \frac{30 e ^{\frac{1}{x ^{5}}}}{x ^{6}}

= - \frac{30 e ^{\frac{1}{x ^{5}}}}{x ^{6}}

2 y d x + 3 x d y = 0

\int e^{2 x} 2 d x

y = x^{2} - 3 x, (5, 10)

\int sec (38 x) tan (38 x) d x

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

What is the derivative of f(x)=6e^{x^{-5}} ?
The derivative of f(x)=6e^{x^{-5}} is -(30e^{1/(x^5)})/(x^6)
What is the first derivative of f(x)=6e^{x^{-5}} ?
The first derivative of f(x)=6e^{x^{-5}} is -(30e^{1/(x^5)})/(x^6)