What is the derivative of 3xe^{(-1)/(y^3)} ?

The derivative of 3xe^{(-1)/(y^3)} is 3e^{-1/(y^3)}

What is the first derivative of 3xe^{(-1)/(y^3)} ?

The first derivative of 3xe^{(-1)/(y^3)} is 3e^{-1/(y^3)}

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derivative of

3 x e^{\frac{- 1}{y ^{3}}}

3 e^{- \frac{1}{y ^{3}}}

Solution steps

\frac{d}{d x} (3 x e^{\frac{- 1}{y ^{3}}})

Simplify

3 x e^{\frac{- 1}{y ^{3}}} : 3 e^{- \frac{1}{y ^{3}}} x

= \frac{d}{d x} (3 e^{- \frac{1}{y ^{3}}} x)

Treat

y

as a constant

Take the constant out:

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

= 3 e^{- \frac{1}{y ^{3}}} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= 3 e^{- \frac{1}{y ^{3}}} \cdot 1

Simplify

= 3 e^{- \frac{1}{y ^{3}}}

\int cos^{6} (x) sin (x) d x

y = 11 + cot^{2} (x)

\frac{d}{d x} (I n (x))

\int sin^{4} (θ) cos^{5} (θ) d θ

- x, \frac{1}{2} x - \frac{3}{2}, - 1, 3

What is the derivative of 3xe^{(-1)/(y^3)} ?
The derivative of 3xe^{(-1)/(y^3)} is 3e^{-1/(y^3)}
What is the first derivative of 3xe^{(-1)/(y^3)} ?
The first derivative of 3xe^{(-1)/(y^3)} is 3e^{-1/(y^3)}