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derivative of using definition f(x)=2x^2-16x+35

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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derivative using definition f(x)=2x²−16x+35

Solution

2(2x−8)

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2x²−16x+35

Derivative Definition

The derivative of f(x) with respect to x is defined as:
lim_h→0[f(x+h)−f(x)h ]

=lim_{h→ 0}(2(x+h)²−16(x+h)+35−(2x²−16x+35)h )

lim_{h→ 0}(2(x+h)²−16(x+h)+35−(2x²−16x+35)h )=2(2x−8)

=2(2x−8)

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

derivative of using definition f(x)=2x^2-16x+35

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