If f(x) = 4x? + 5x + 3, find f' (-5), using the definition of derivative. f' (-5) is the limit as a → -5 of the expression 8x+5 ·The value of this limit is -35
If f(x) = 4x? + 5x + 3, find f' (-5), using the definition of derivative. f' (-5) is the limit as a → -5 of the expression 8x+5 ·The value of this limit is -35
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
why is 8x+5 wrong? what is the correct answer? ):
![If \( f(x) = 4x^2 + 5x + 3 \), find \( f'(-5) \) using the definition of the derivative. \( f'(-5) \) is the limit as \( x \to -5 \) of the expression
\[ 8x + 5 \]
The value of this limit is
\[ -35 \]
Use this to find the equation of the tangent line to the parabola \( y = 4x^2 + 5x + 3 \) at the point \((-5, 78)\). The equation of this tangent line can be written in the form
\[ y = -35x - 97 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd556e803-222c-475e-bc6a-44d8250d1cd2%2F04cf352f-f59f-432c-901a-e05b4a3fc8ca%2Fe5ax4x4_processed.png&w=3840&q=75)
Transcribed Image Text:If \( f(x) = 4x^2 + 5x + 3 \), find \( f'(-5) \) using the definition of the derivative. \( f'(-5) \) is the limit as \( x \to -5 \) of the expression
\[ 8x + 5 \]
The value of this limit is
\[ -35 \]
Use this to find the equation of the tangent line to the parabola \( y = 4x^2 + 5x + 3 \) at the point \((-5, 78)\). The equation of this tangent line can be written in the form
\[ y = -35x - 97 \]
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

