   Chapter 11.1, Problem 65E 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

In Exercises 65–70, find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. [HINT: The tangent line is horizontal when its slope is zero.] y = 2 x 2 + 3 x − 1

To determine

To calculate: The values of x where the tangent line to the graph of function y=2x2+3x1 is horizontal.

Explanation

Given Information:

The function is y=2x2+3x1.

Formula used:

Sum rule of derivative is [f+g]'(x)=f'(x)+g'(x).

Constant multiple rule of derivative is f'(cx)=cf'(x), where c is any constant.

Slope of tangent of graph f(x) at point (a,b) is given by f'(a).

Power rule of a function y=xn is dydx=nxn1, where n is some constant.

Derivative of a constant is 0.

Equation of line is y=mx+b where m is the slope and b=y1mx1 when line passes through (x1,y1).

Calculation:

Consider the function, y=2x2+3x1

Find slope of tangent of graph y=2x2+3x1 by determining derivative of the function f(x)

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