Explanation Formula used: Derivative involving Sine and Cosine: Basic Form: 1. d d x sin x = cos x 2. d d x cos x = − sin x Calculation: Use the derivative of sine and cosine function and obtain the derivative of csc ( π x ) as follows. d d x csc ( π x ) = d d x ( 1 sin ( π x ) ) [ ∵ csc ( π x ) = 1 sin π x ] = d d x ( sin π x ) − 1 = − 1 ( sin π x ) − 2 d d x ( sin π x ) = − cos ( π x ) ( sin π x ) − 2 d d x ( π x ) Simplify further as, d

14th Edition

ISBN: 9780135961407

Author: Barnett

Publisher: PEARSON CO

See similar textbooks

Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Videos

Question

Chapter 8.3, Problem 31E

To determine

To find: The derivative of csc(πx).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.3, Problem 30E

Chapter 8.3, Problem 32E

Students have asked these similar questions

In a crossover trial comparing a new drug to a standard, π denotes the probabilitythat the new one is judged better. It is desired to estimate π and test H0 : π = 0.5against H1 : π = 0.5. In 20 independent observations, the new drug is better eachtime.(a) Find and plot the likelihood function. Give the ML estimate of π (Hint: youmay use the plot function in R)

Q9. If A and B are two events, prove that P(ANB) ≥ 1 − P(Ā) – P(B). [Note: This is a simplified version of the Bonferroni inequality.] -

Can you explain what this analysis means in layman's terms? - We calculated that a target sample size of 3626, which was based on anticipated baseline 90-day mortality of 22% and a noninferiority margin of no more than 4 percentage points, would give the trial 80% power, at a one-sided alpha level of 2.5%, accounting for a maximum of 5% loss to follow-up and for early stopping rules for three interim analyses.-

Chapter 8 Solutions

EP CALCULUS F/BUS.,ECON.-BRIEF-ACCESS

Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Without using a calculator, find: (A)cot 45 (B)cos...Ch. 8.1 - Solve the right triangle in Figure 14. Round side...Ch. 8.1 - Solve the right triangle in Figure 16. Round...Ch. 8.1 - Repeat Example 5 assuming that the man is standing...Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...

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.

The derivative of csc ( π x ) .

Solution Summary: The author explains how to obtain the derivative of mathrmcsc(pi x).

Concept explainers

Videos

To find: The derivative of csc(πx).

Want to see the full answer?

Chapter 8 Solutions