What is the derivative of g(t)= 7/(8t^5) ?

The derivative of g(t)= 7/(8t^5) is -(35)/(8t^6)

What is the first derivative of g(t)= 7/(8t^5) ?

The first derivative of g(t)= 7/(8t^5) is -(35)/(8t^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

g (t) = \frac{7}{8 t ^{5}}

- \frac{35}{8 t ^{6}}

Solution steps

\frac{d}{d t} (\frac{7}{8 t ^{5}})

Take the constant out:

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

= \frac{7}{8} \frac{d}{d t} (\frac{1}{t ^{5}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{7}{8} \frac{d}{d t} (t^{- 5})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{7}{8} (- 5 t^{- 5 - 1})

Simplify

\frac{7}{8} (- 5 t^{- 5 - 1}) : - \frac{35}{8 t ^{6}}

= - \frac{35}{8 t ^{6}}

\int 3 sin (6 x) d x

\frac{d ^{2}}{d x ^{2}} (- \frac{x}{y})

y^{^{''}} + 36 y = 6 t^{2}

5^{x^{3}}

\frac{( k ^{2} - x ^{2} ) ^{3}}{x ^{2} + a ^{2}}

What is the derivative of g(t)= 7/(8t^5) ?
The derivative of g(t)= 7/(8t^5) is -(35)/(8t^6)
What is the first derivative of g(t)= 7/(8t^5) ?
The first derivative of g(t)= 7/(8t^5) is -(35)/(8t^6)