Find derivative of the function.

yequals$=$StartFraction e Superscript $13$ x Baseline plus e Superscript negative $13$ x Over x EndFractione$13$x$+$e$13$xx

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Part $1$

Find the rule that should be used first in finding the derivative of the given function and choose the first step in applying the rule.

The

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constant rule

chain rule

quotient rule

product rule

should be used first.

StartFraction dy Over dx EndFractiondydxequals$=$

$$

$$

x times StartFraction d Over dx EndFraction left parenthesis e Superscript $13$ x Baseline plus e Superscript negative $13$ x right parenthesis plus left parenthesis e Superscript $13$ x Baseline plus e Superscript negative $13$ x right parenthesis times StartFraction d Over dx EndFraction left parenthesis x right parenthesisx$$ddxe$13$x$+$e$13$x$+$e$13$x$+$e$13$x$$ddx$($x$)$

StartStartFraction x times StartFraction d Over dx EndFraction left parenthesis e Superscript $13$ x Baseline plus e Superscript negative $13$ x right parenthesis minus left parenthesis e Superscript $13$ x Baseline plus e Superscript negative $13$ x right parenthesis times StartFraction d Over dx EndFraction left parenthesis x right parenthesis OverOver x squared EndEndFractionx$$ddxe$13$x$+$e$13$x$$e$13$x$+$e$13$x$$ddx$($x$)$x$2$

StartStartFraction x times StartFraction d Over dx EndFraction left parenthesis e Superscript $13$ x Baseline minus e Superscript negative $13$ x right parenthesis plus left parenthesis e Superscript $13$ x Baseline plus e Superscript negative $13$ x right parenthesis times StartFraction d Over dx EndFraction left parenthesis x right parenthesis OverOver x squared EndEndFractionx$$ddxe$13$x$$e$13$x$+$e$13$x$+$e$13$x$$ddx$($x$)$x$2$

x times StartFraction d Over dx EndFraction left parenthesis e Superscript $13$ x Baseline plus e Superscript negative $13$ x right parenthesis minus left parenthesis e Superscript $13$ x Baseline plus e Superscript negative $13$ x right parenthesis times StartFraction d Over dx EndFraction left parenthesis x right parenthesisx$$ddxe$13$x$+$e$13$x$$e$13$x$+$e$13$x$$ddx$($x$)$

Part $2$

StartFraction dy Over dx EndFractiondydxequals$=$enter your response here