What is the derivative of 9/(t^4) ?

The derivative of 9/(t^4) is -(36)/(t^5)

What is the first derivative of 9/(t^4) ?

The first derivative of 9/(t^4) is -(36)/(t^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{9}{t ^{4}}

- \frac{36}{t ^{5}}

Solution steps

\frac{d}{d t} (\frac{9}{t ^{4}})

Take the constant out:

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

= 9 \frac{d}{d t} (\frac{1}{t ^{4}})

Apply exponent rule:

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

= 9 \frac{d}{d t} (t^{- 4})

Apply the Power Rule:

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

= 9 (- 4 t^{- 4 - 1})

Simplify

9 (- 4 t^{- 4 - 1}) : - \frac{36}{t ^{5}}

= - \frac{36}{t ^{5}}

\int_{- 5}^{5} (4 - ∣ x ∣) d x

y = 8 csc (2 x^{4} - 7 x + 3)

\frac{d}{d x} (5 x^{5} f (x))

y^{^{'}} = e^{t + y}, y (0) = 0

What is the derivative of 9/(t^4) ?
The derivative of 9/(t^4) is -(36)/(t^5)
What is the first derivative of 9/(t^4) ?
The first derivative of 9/(t^4) is -(36)/(t^5)