(log_{10}(27))/3

Topic

Full pad

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

simplify solve for expand factor rationalize

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Steps Examples

Generated by AI

normal of y=x²−x−1, at x=2

Solution

y=−13 x+53

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Solution steps

One step at a time

Find the tangent point: (2, 1)

Find the slope of y=x²−x−1: 2x−1

Compute the slope at x=2: m=3

Compute the slope of the perpendicular line: m_p=−13

Find the line with slope m=−13 and passing through (2, 1): y=−13 x+53

y=−13 x+53

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