How do you find all extrema in the interval [0, 2(pi)] for $y= sin x + cos x$?

Md Ariful Islam

বিএসসি(সিএসই) , এমবিএ(মার্কেটিং)

সফটওয়্যার ইঞ্জিনিয়ার Bissoy.com

4 views

2025-01-04 04:42

1 Answers

Md Ariful Islam

বিএসসি(সিএসই) , এমবিএ(মার্কেটিং)

সফটওয়্যার ইঞ্জিনিয়ার Bissoy.com

$y = sin x + cos x = sqrt2*sin (x + pi/4).$
$sin (x + pi/4)$ has max at $(1)$ and $(-1)$.
Then, $y$ has max at $(sqrt2)$ and $-(sqrt2).$

4 views Answered 2024-04-02 09:48

Related Questions

How do you find absolute extrema of the function $g(x) = 2x + 5cosx$ on the interval [0,2pi]?

1 Answers 4 Views

How duo you find all extrema in the interval $[0, 2pi]$ if $y=x+sin x$?

1 Answers 4 Views

What are the absolute extrema of $y=cos^2 x - sin^2 x$ on the interval [-2,2]?

1 Answers 4 Views

How do use the first derivative test to determine the local extrema $y = sin x cos x$?

1 Answers 4 Views

What are the extrema of $f(x)=-sin^2(ln(x^2))-cos^2(ln(x^2))$ on the interval $[0,2pi]$?

1 Answers 4 Views

What are the extrema and saddle points of $f(x, y) = 6 sin x sin y$ on the interval $x,y in[-pi,pi]$ ?

1 Answers 4 Views

What are the absolute extrema of $ f(x)= |sin(x) + ln(x)|$ on the interval (0 ,9]?

1 Answers 4 Views

What are the absolute extrema of $ f(x)= |sin(x) - cos(x)|$ on the interval [-pi,pi]?

1 Answers 4 Views

How do you determine if rolles theorem can be applied to $f(x)= 10 sin (2x)$ on the interval [0,2pi] and if so how do you find all the values of c in the interval for which f'(c)=0?

1 Answers 4 Views

How do you determine if rolles theorem can be applied to $ f(x) = sin 2x$ on the interval [0, (pi/2)] and if so how do you find all the values of c in the interval for which f'(c)=0?

1 Answers 4 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)