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)

\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}}

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

a re a y = 3 x, x = 3, y = 1

y^{^{'}} + y = x y^{2}

x \to \infty lim (2 x^{2} + 5)

\int \frac{x ^{2} - x + 2}{x ^{3} - x ^{2} + x - 1} 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)