What is the derivative of g(t)= 7/(8t^4) ?

The derivative of g(t)= 7/(8t^4) is -7/(2t^5)

What is the first derivative of g(t)= 7/(8t^4) ?

The first derivative of g(t)= 7/(8t^4) is -7/(2t^5)

Popular >

derivative of

g (t) = \frac{7}{8 t ^{4}}

- \frac{7}{2 t ^{5}}

Solution steps

\frac{d}{d t} (\frac{7}{8 t ^{4}})

Take the constant out:

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

= \frac{7}{8} \frac{d}{d t} (\frac{1}{t ^{4}})

Apply exponent rule:

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

= \frac{7}{8} \frac{d}{d t} (t^{- 4})

Apply the Power Rule:

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

= \frac{7}{8} (- 4 t^{- 4 - 1})

Simplify

\frac{7}{8} (- 4 t^{- 4 - 1}) : - \frac{7}{2 t ^{5}}

= - \frac{7}{2 t ^{5}}

\int sin^{4} (x) cos^{4} (x) d x

\frac{\partial}{\partial x} (z (1 + e^{x + y}))

\frac{d}{d x} (x^{a} y^{b})

(\frac{1}{x ^{2}} - \frac{5}{x ^{4}}) (x + 8 x^{3})

\int 7 x^{3} (x - 5)^{- 4} d x

What is the derivative of g(t)= 7/(8t^4) ?
The derivative of g(t)= 7/(8t^4) is -7/(2t^5)
What is the first derivative of g(t)= 7/(8t^4) ?
The first derivative of g(t)= 7/(8t^4) is -7/(2t^5)