   Chapter 9.3, Problem 27E Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

In Problems 27 and 28, a point ( a , b ) on the graph of y =   f ( x ) is given, as is the equation of the line tangent to the graph of f ( x ) at ( a ,   b ) . In each case, find f ' ( a ) and f ( a ) . ( 4 , − 11 ) ; 7 x − 3 y = 61

To determine

To calculate: The value of f'(a) and f(a) if (a,b)=(4,11) is a point on y=f(x) which lies on the tangent line 7x3y=61.

Explanation

Given Information:

It is provided that (a,b)=(4,11) is a point on y=f(x) which lies on the tangent line 7x3y=61.

Formula used:

If straight line is defined as y=mx+c, then m is the slope of the tangent and c is the intercept.

The function y=f(x) has tangent line y=mx+c at point (a,b) then;

m=f(a)

Calculation:

Consider the provided statement,

The (a,b)=(4,11) is a point on y=f(x) which lies on the tangent line 7x3y=61

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

Find more solutions based on key concepts 