Wednesday

July 23, 2014

July 23, 2014

Posted by **Michael** on Saturday, December 4, 2010 at 4:16pm.

f(θ) = 2cos(θ) + (sin(θ))^2

- Critical Numbers -
**MathMate**, Saturday, December 4, 2010 at 7:06pmCritical point:

A critical point at the interior of the domain of a function is the point where the derivative is*zero*or*undefined*.

f(θ) = 2cos(θ) + (sin(θ))^2

does not have any undefined points for θ∈ℝ.

So we only need to find the values of θ which make f'(θ)=0.

Differentiate f(θ) and equate to zero. Solve for*all*roots for the equation and these are the critical points.

The following graph might help you check you answer:

http://img256.imageshack.us/img256/11/1291497419.png

**Related Questions**

Calculus - Find the critical numbers of the function on the interval 0 ≤...

Math - Calculus - The identity below is significant because it relates 3 ...

Math - Find the critical numbers of the functions: F(x) = x^(4/5)(x-4)^2 f(θ...

Pre Calculus - sec x = -2 , π ≤ x ≤ 3π Use a calculator to...

Trigonometry - if cot 2θ = 5/12 with 0≤2θ≤π find cos...

trig - find cos(θ)ˏsin(θ)ˏtan(θ), if cot (2θ)=5/12...

PreCalc - I'm not sure how to solve these with calculator. sec x = -2 , π...

Algebra - What values for θ (0≤θ≤2π) satisfy the ...

Calculus - A vehicle moves along a straight path with a speed of 4m/s. A ...

trigonometry - 5. If cot 2θ = 5/12 with 0 ≤ 2θ ≤ π...