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derivative of with respect to w,te^{(w/t)}

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∂ ∂ w (te^(wt ))

Solution

e^wt

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∂ ∂ w (te^(wt ))

Treat t as a constant

Take the constant out: (a·f)′=a·f ′

=t∂ ∂ w (e^wt)

Apply the chain rule: e^wt∂ ∂ w (wt )

=e^wt∂ ∂ w (wt )

∂ ∂ w (wt )=1t

=te^wt1t

Simplify te^wt1t : e^wt

=e^wt

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

derivative of with respect to w,te^{(w/t)}

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