What is the derivative of 4/(x^{11}) ?

The derivative of 4/(x^{11}) is -(44)/(x^{12)}

What is the first derivative of 4/(x^{11}) ?

The first derivative of 4/(x^{11}) is -(44)/(x^{12)}

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\frac{d}{d x} (\frac{4}{x ^{11}})

- \frac{44}{x ^{12}}

Solution steps

\frac{d}{d x} (\frac{4}{x ^{11}})

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{x ^{11}})

Apply exponent rule:

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

= 4 \frac{d}{d x} (x^{- 11})

Apply the Power Rule:

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

= 4 (- 11 x^{- 11 - 1})

Simplify

4 (- 11 x^{- 11 - 1}) : - \frac{44}{x ^{12}}

= - \frac{44}{x ^{12}}

(y + x cot (\frac{y}{x})) d x - x d y = 0

x \to \infty lim (x \cdot 2^{x})

x \to 4 + lim (\frac{3 x}{4} + 2)

\int_{0}^{3} 3 x d x

\frac{d}{d x} (tan (\frac{1 - e ^{x}}{1 + e ^{x}}))

What is the derivative of 4/(x^{11}) ?
The derivative of 4/(x^{11}) is -(44)/(x^{12)}
What is the first derivative of 4/(x^{11}) ?
The first derivative of 4/(x^{11}) is -(44)/(x^{12)}