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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Exponent Rules Calculator >

derivative of (x^{11}/(x^{-3)})

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

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π

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∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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ddx (x¹¹x⁻³ )

Solution

14x¹³

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Solution steps

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ddx (x¹¹x⁻³ )

Simplify x¹¹x⁻³ : x¹⁴

=ddx (x¹⁴)

Apply the Power Rule: ddx (x^a)=a·x^a−1

=14x¹⁴⁻¹

Simplify

=14x¹³

Exponent Rules Examples

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