derivative of sin^{65}(x)

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

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x^☐

√☐

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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 (sin⁶⁵(x))

Solution

65sin⁶⁴(x)cos(x)

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Solution steps

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ddx (sin⁶⁵(x))

Apply the chain rule: 65(sin(x))⁶⁴ddx (sin(x))

=65(sin(x))⁶⁴ddx (sin(x))

ddx (sin(x))=cos(x)

=65(sin(x))⁶⁴cos(x)

Simplify

=65sin⁶⁴(x)cos(x)

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derivative of sin^{65}(x)

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