To determine To calculate: The derivative f ( x ) , f ′ ( 2 ) , f ′ ( 0 ) , f ′ ( − 3 ) for given function f ( x ) = − 4 x 2 + 11 x . Explanation Given: The function, f ( x ) = − 4 x 2 + 11 x . Formula used: Derivative for a function f is given as f ′ ( x ) = lim h → 0 f ( x + h ) − f ( x ) h , provided that this limit exists. Calculation: Replace x with x + h in the rule of f ( x ) . f ( x ) = − 4 x 2 + 11 x f ( x + h ) = − 4 ( x + h ) 2 + 11 ( x + h ) = − 4 ( x 2 + h 2 + 2 x h ) + 11 x + 11 h = − 4 x 2 − 4 h 2 − 8 x h + 11 x + 11 h Now, find the value of f ( x + h ) − f ( x ) . f ( x + h ) − f ( x ) = − 4 x 2 − 4 h 2 − 8 x h + 11 x + 11 h − ( − 4 x 2 + 11 x ) = "

Mathematics with Applications In the Management, Natural, and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (11th Edition)

11th Edition

ISBN: 9780321935441

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

See similar textbooks

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

Videos

Question

Chapter 11.4, Problem 3E

To determine

To calculate: The derivative f(x),f′(2),f′(0),f′(−3) for given function f(x)=−4x2+11x.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.4, Problem 2E

Chapter 11.4, Problem 4E

Students have asked these similar questions

I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals. K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.

Most people know that the probability of getting a head when you flip a fair coin is . You want to use the relative frequency of the event to show that the probability is . How many times should you simulate flipping the coin in the experiment? Would it be better to use 300 trials or 3000 trials? Explain.

need help on B

Chapter 11 Solutions

Mathematics with Applications In the Management, Natural, and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (11th Edition)

Ch. 11.1 - Checkpoint 1 Use a calculator to estimate by...Ch. 11.1 - Checkpoint 2 If , find the given...Ch. 11.1 - Prob. 3CP Ch. 11.1 - Checkpoint 4 Find the given limits. (a) (b) Ch. 11.1 - Checkpoint 5 Find Ch. 11.1 - Checkpoint 6 Find the given limits. (a) (b) Ch. 11.1 - Checkpoint 7 Let Find the given...Ch. 11.1 - Use the given graph to determine the value of the...Ch. 11.1 - Use the given graph to determine the value of the...Ch. 11.1 - Use the given graph to determine the value of the...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.