What is the derivative of f(x)= 5/(x^{11)} ?

The derivative of f(x)= 5/(x^{11)} is -(55)/(x^{12)}

What is the first derivative of f(x)= 5/(x^{11)} ?

The first derivative of f(x)= 5/(x^{11)} is -(55)/(x^{12)}

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derivative of

f (x) = \frac{5}{x ^{11}}

- \frac{55}{x ^{12}}

Solution steps

\frac{d}{d x} (\frac{5}{x ^{11}})

Take the constant out:

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

= 5 \frac{d}{d x} (\frac{1}{x ^{11}})

Apply exponent rule:

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

= 5 \frac{d}{d x} (x^{- 11})

Apply the Power Rule:

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

= 5 (- 11 x^{- 11 - 1})

Simplify

5 (- 11 x^{- 11 - 1}) : - \frac{55}{x ^{12}}

= - \frac{55}{x ^{12}}

\frac{1}{s ^{2} + 4 s + 13}

\frac{d}{d x} (e^{12 x})

\int \frac{1}{2 x ^{2} + 5 x - 7} d x

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

x \to 4 + lim (\frac{1}{( x + 4 ) ^{3}})

What is the derivative of f(x)= 5/(x^{11)} ?
The derivative of f(x)= 5/(x^{11)} is -(55)/(x^{12)}
What is the first derivative of f(x)= 5/(x^{11)} ?
The first derivative of f(x)= 5/(x^{11)} is -(55)/(x^{12)}