What is the derivative of y=e^{-7/(t^2)} ?

The derivative of y=e^{-7/(t^2)} is (14e^{-7/(t^2)})/(t^3)

What is the first derivative of y=e^{-7/(t^2)} ?

The first derivative of y=e^{-7/(t^2)} is (14e^{-7/(t^2)})/(t^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = e^{- \frac{7}{t ^{2}}}

\frac{14 e ^{- \frac{7}{t ^{2}}}}{t ^{3}}

Solution steps

\frac{d}{d t} (e^{- \frac{7}{t ^{2}}})

Apply the chain rule:

e^{- \frac{7}{t ^{2}}} \frac{d}{d t} (- \frac{7}{t ^{2}})

= e^{- \frac{7}{t ^{2}}} \frac{d}{d t} (- \frac{7}{t ^{2}})

\frac{d}{d t} (- \frac{7}{t ^{2}}) = \frac{14}{t ^{3}}

= e^{- \frac{7}{t ^{2}}} \frac{14}{t ^{3}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{14 e ^{- \frac{7}{t ^{2}}}}{t ^{3}}

y = - 3 x + 2

\frac{3 s + 3}{s ^{2} - 9}

- x^{4} - x^{2}

\frac{\partial}{\partial x} (2 (x + c))

4 e^{- 3 t}

What is the derivative of y=e^{-7/(t^2)} ?
The derivative of y=e^{-7/(t^2)} is (14e^{-7/(t^2)})/(t^3)
What is the first derivative of y=e^{-7/(t^2)} ?
The first derivative of y=e^{-7/(t^2)} is (14e^{-7/(t^2)})/(t^3)