   Chapter 11.1, Problem 103E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

What instructions would you give to a fellow student who wanted to accurately graph the tangent line to the curve y = 3 x 2 atpoint ( − 1 , 3 ) ?

To determine

What instructions would be followed if a student wants to draw a line angles to the curve y=3x2 at the point (1,3) accurately.

Explanation

Given Information:

The provided curve and the point is y=3x2 and (1,3) respectively.

Consider the provided curve y=3x2,

In order to draw the tangent to the curve y=3x2, find the derivative of the curve, that is dydx.

The derivative of function y=xn by using power rule, is dydx=nxn1.

And constant multiple rule of derivative of function f(x) is ddx[cf(x)]=cddx[f(x)] where c is constant.

Apply the constant multiple rule and power rule of derivative to the differentiate the curve y=3x2.

dydx=3(2)x21=6x

Thus, the derivative of a curve is dydx=6x

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Intervals Express each set in interval notation. 60. (a) (b)

Precalculus: Mathematics for Calculus (Standalone Book)

The series solution to y′ = xy is:

Study Guide for Stewart's Multivariable Calculus, 8th

Sometimes, Always, or Never: If c is a critical number, then f′(c) = 0.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 