Find the derivative of the function using the definition of derivative. 1 - 6t G(t) 4 +t 25 G'(t) (1+4)² State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
icon
Related questions
Question

problem is attached!
i am completly stucked. please show work on how you solved problem so i can fully understand. thank you so much!

Find the derivative of the function using the definition of derivative.
G(t):
1- 6t
4 + t
25
G'(t) =
(t+4)2
State the domain of the function. (Enter your answer using interval notation.)
State the domain of its derivative. (Enter your answer using interval notation.)
Transcribed Image Text:Find the derivative of the function using the definition of derivative. G(t): 1- 6t 4 + t 25 G'(t) = (t+4)2 State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)
Expert Solution
Step 1: To Find

We have to find the derivative for the function G(t)=1-6t4+t. Also, find the domain for the function and its derivative.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning