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difference quotient w=h^2-3h+4

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

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

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difference quotient w=h²−3h+4

Solution

Δ+2h−3

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Solution steps

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The difference quotient of w(h) is given by w(h+Δ)−w(h)Δ

Substitute h with h+Δ

w(h+Δ)=(h+Δ)²−3(h+Δ)+4

=(h+Δ)²−3(h+Δ)+4−(h²−3h+4)Δ

Simplify (h+Δ)²−3(h+Δ)+4−(h²−3h+4)Δ : Δ+2h−3

=Δ+2h−3

Δ+2h−3

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

difference quotient w=h^2-3h+4

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