Problem

The graph of any quadratic function $ f(x) = ax^2…

02:18

Problem 79 Medium Difficulty

What is the value of $ c $ such that the line $ y = 2x + 3 $ is tangent to the parabola $ y = cx^2? $

Name: what is the value of c such that the line y 2x 3 is tangent to the parabola y cx2
Uploaded: 2019-11-29
Duration: 51 s
Channel: Numerade
Description: What is the value of $ c $ such that the line $ y = 2x + 3 $ is tangent to the parabola $ y = cx^2? $

Answer

$$c=\frac{1}{a}=-\frac{1}{3}$$

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Video Transcript

it's clear. So when you married here. So a line is tension to the prop alot. If that meets a problem only one time, so we see that there's only gonna be one solution. See, X square minus two X minus three is equal to zero. We're gonna make the be equal to zero. So it has one solution is equal to Ciro for plus 12 c this equal to cereal and we gonna see value of negative 1/3.

Clarissa N.

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions