💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

Draw a diagram showing two perpendicular lines that intersect on the y-axis and are both tangent to the parabola $ y = x^2. $ Where do these lines intersect?

03:34

Frank L.

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Oregon State University

Baylor University

University of Nottingham

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:21

Draw a diagram to show tha…

04:00

Tangent Lines Show that th…

05:38

Show that any two tangent …

02:00

Draw a diagram to shoe tha…

04:36

Tangent linesThe grap…

02:17

The equations of a parabol…

02:19

01:12

Find all points $(x, y)$ o…

02:43

02:21

Show that the tangent line…

Hey, it's clear. So when you read here, so we have why is equal to X square? This is even a function symmetric around the white access, and we know that are perpendicular lines will have slopes of one and negative one, and they'll go through the y axis. So for the tangent slope of one for why is equal to X square, you have our derivative, which is equal to two X. You cook in one, and we get X is equal to 1/2. We find the white corn in it and it becomes 1/4. We're you know that it's even so have symmetry. So the other is gonna be negative 1/2 and one for we're gonna find the equation With the first slope of one. I get why minus why one is equal to m times X minus X one, and we get why minus 1/4 is equal to one times X minus 1/2 and this becomes a lie is equal to X minus 1/4 for negative one. We're going to do the same thing, and we get why is equal to negative X minus 1/4. We see where the lines intersect by making them equal to one another. When we see that it's Pax is equal to zero under why value becomes negative. 1/4 Put zero comma. Negative. 1/4. We're gonna draw next. Why? Looks like this then. Our tangents. What? This is negative. 1/2 and 1/4 This this positive 1/2 and 1/4 room. This is Hero Common negative 1/4.

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Draw a diagram to show that there are two tangent lines to the parabola $y=x…

Tangent Lines Show that the graphs of the two equations$$y=x \quad \text…

Show that any two tangent lines to the parabola $y=a x^{2},$$a \neq 0,$ …

Draw a diagram to shoe that there are two tangent lines to the parabola $ y …

Tangent linesThe graph of $y=\left(x^{2}\right)^{x}$ has two horizontal…

The equations of a parabola and a tangent line to the parabola are given. Us…

Find all points $(x, y)$ on the graph of $y=x /(x-2)$ with tangentlines …

Find all points $(x, y)$ on the graph of $y=x /(x-2)$ with tangent lines per…

Show that the tangent lines to the parabola $ x^2 = 4py $ drawn from any poi…