What is the derivative of (sqrt(10)/(x^7)) ?

The derivative of (sqrt(10)/(x^7)) is -(7sqrt(10))/(x^8)

What is the first derivative of (sqrt(10)/(x^7)) ?

The first derivative of (sqrt(10)/(x^7)) is -(7sqrt(10))/(x^8)

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\frac{d}{d x} (\frac{10}{x ^{7}})

- \frac{7 10}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{10}{x ^{7}})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{1}{x ^{7}})

Apply exponent rule:

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

= 10 \frac{d}{d x} (x^{- 7})

Apply the Power Rule:

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

= 10 (- 7 x^{- 7 - 1})

Simplify

10 (- 7 x^{- 7 - 1}) : - \frac{7 10}{x ^{8}}

= - \frac{7 10}{x ^{8}}

\frac{d}{d t} (e^{- 5 t})

d u = - e^{- z} d z

x \to 0 - lim (\frac{1}{3 x})

\frac{\partial}{\partial x} (\frac{x}{x y} + \frac{y}{x y})

\int \frac{sin ^{3} ( x )}{cos ( x )} d x

What is the derivative of (sqrt(10)/(x^7)) ?
The derivative of (sqrt(10)/(x^7)) is -(7sqrt(10))/(x^8)
What is the first derivative of (sqrt(10)/(x^7)) ?
The first derivative of (sqrt(10)/(x^7)) is -(7sqrt(10))/(x^8)