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Normal Lines
Related Topics
Wize University Calculus 1 Textbook > Derivatives
Normal Lines
3 Activities
Find the point on
y
=
x
2
y=x^2
y
=
x
2
that is closest to the point
(
18
,
0
)
.
(18,0).
(
18
,
0
)
.
Hint: The line which connects the closest point on the curve to a point out of the curve is perpendicular to the curve.
Answer
I don't know
Check Submission
More Normal Lines Questions:
Slope of a Normal Line
Find all points where the slope of the normal line to the curve
y
=
2
x
3
−
5
x
+
1
y=2x^3-5x+1
y
=
2
x
3
−
5
x
+
1
is
−
1
19
-\frac{1}{19}
−
19
1
.
Slope of a Normal Line
Find all points where the slope of the normal line to the curve
y
=
2
x
3
−
5
x
+
1
y=2x^3-5x+1
y
=
2
x
3
−
5
x
+
1
is
−
1
19
-\frac{1}{19}
−
19
1
.
Derivatives of Logarithmic Functions: Normal Lines
Find the equation of the normal line to
f
(
x
)
=
ln
x
at the point
(
e
,
1
)
f(x)=\ln{x} \text{ at the point } (e,1)
f
(
x
)
=
ln
x
at the point
(
e
,
1
)
Note:
This questions requires knowledge of derivatives of logarithms
Finding Tangent and Normal Lines
Find the tangent line and normal line to
f
(
x
)
=
2
x
2
+
x
−
1
f(x)=2x^2+x-1
f
(
x
)
=
2
x
2
+
x
−
1
at
x
=
1
x=1
x
=
1
.
Slope of a Normal Line
Find all points where the slope of the normal line to the curve
y
=
2
x
3
−
5
x
+
1
y=2x^3-5x+1
y
=
2
x
3
−
5
x
+
1
is
−
1
19
-\frac{1}{19}
−
19
1
.