What is the derivative of 7/(4x^5) ?

The derivative of 7/(4x^5) is -(35)/(4x^6)

What is the first derivative of 7/(4x^5) ?

The first derivative of 7/(4x^5) is -(35)/(4x^6)

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derivative of

\frac{7}{4 x ^{5}}

- \frac{35}{4 x ^{6}}

Solution steps

\frac{d}{d x} (\frac{7}{4 x ^{5}})

Take the constant out:

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

= \frac{7}{4} \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= \frac{7}{4} \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= \frac{7}{4} (- 5 x^{- 5 - 1})

Simplify

\frac{7}{4} (- 5 x^{- 5 - 1}) : - \frac{35}{4 x ^{6}}

= - \frac{35}{4 x ^{6}}

\frac{d x}{d t} = (\frac{6 x}{2000 + 12 t})

\int_{1}^{4} 1 e^{x} d x

\frac{\partial}{\partial x} (3 x^{2})

g (x) = 2 x^{2}

\frac{d}{d x} (cos^{2} (x) - 1)

What is the derivative of 7/(4x^5) ?
The derivative of 7/(4x^5) is -(35)/(4x^6)
What is the first derivative of 7/(4x^5) ?
The first derivative of 7/(4x^5) is -(35)/(4x^6)