Question

could you explain maxima and minima value of cos(cosx)

Answer 1

If u look at the Cosine graph, you will see that it reaches it's maxima at values of x = 0, 2Pi, 4Pi... even multiples of Pi...

Cos x varies from -1 to 1 (both inclusive)

So, for the maximum value of Cos(Cos x), I should get Cos x as near to 0 (or any even multiple of Pi) as possible... That is, get X as near to Pi/2 as possible...

This is possible for x =Pi/2...

So For x = Pi/2, Cos x is 0

So maximum value is Cos 0 = 1

Answer 2

I would just take the derivative and set it equal to zero to find where slope is horizontal

Answer 3

\[\frac{d}{dx}cos(cosx) = sin(cosx)sinx\]

Answer 4

(negatives cancel)

Answer 5

sorry guys i could not understand.

Answer 6

I'm not sure I could explain this in any other way. Do you know calculus?

Answer 7

yes i know calculus.

Answer 8

Alright, so you know that 1st derivative of a function is slope. When slope is horizontal, i.e., 0, then you are either at a max or min on the curve

Answer 9

imagine they are horizontal lines

Answer 10

tangent lines to the curve