whats the solution of differentiating secant squared?

Question

or

1/(cos(x))^2

guys secant sqaured x is 1/(cos(x))^2
not cos(x).cos(x)

Answer 1

f(x) = sec^2(x)

To differentiate this, we have to keep two functions in mind; the "squared" function, and the secant function. The chain rule is involved.

Rewriting it slightly,

f(x) = [sec(x)]^2

And now, we differentiate; first using the power rule, and then differentiating secant. Note that the derivative of sec(x) is sec(x)tan(x).

f'(x) = 2sec(x) (sec(x)tan(x))
f'(x) = 2sec^2(x)tan(x)

Answer 2

Secant Squared

Answer 3

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RE:
whats the solution of differentiating secant squared?
or

1/(cos(x))^2

Answer 4

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Most of our Veda’s and Upanishads have been written and compiled in the peace and tranquility of forest and caves ‘The Bhagawad Gita’ is unique in the sense that the message of The Bhagawad Gita has been given on the battle front. Why the battle front? Why through Arjuna? Why not Yudhisthir who was a more able warrior, level headed and understood warfare better or why not Bheema but Shri Krishna chose Arjuna an able warrior but immature like all of us mortals to give this message divine through ‘The Bhagawad Gita’. Our body centered life itself is a kind of a battlefield ‘Kurukshetra’. The ‘good’ and the ‘bad’ tendencies within us draw parallel with the cousins the Pandavas and the Kauravas. These good and bad tendencies are cousins because they have the origin in the same body. Like the Kurukshetra battle these bad tendencies in us often team up and outnumber to defeat the good tendencies within us degenerate our moral character. Laws of nature is eternal and uniform, what has happened once is bound to happen again under similar circumstances, hence ‘The Bhagawad Gita’ allows itself to be viewed allegorically through all ages and time. I agree with Poondi Sir, that the answer on morality cannot be restricted to a few verses infact all the 700 verses are message divine for us mortals to sail ourselves smoothly out of any type of moral crisis. I will give an example of the first verse itself which begans with Dhrtarastra’s query dharma-kṣetre kuru-kṣetre samavetā yuyutsavaḥ māmakāḥ pāṇḍavāś caiva kim akurvata sañjaya meaning of each word dhṛtarāṣṭra – I am dhratrashtra blind as I am, my mind is blinded with attachments and desires, neither I can see I and fail to apply my mind to differentiate between ‘good’ and ‘bad’ dharma-kṣetre – a spiritual place kuru-kṣetre – is my body samavetā – gathered together yuyutsavaḥ – to fight a war māmakā – ‘MY’ sons – (can be termed as my ego that is a bad force) pāṇḍavāś caiva – and the son of pandu (can be termed as ‘good’/’righteousness within me as Shri Krishna is himself aligned with it) kim akurvata – what are the good and the bad forces doing sañjaya – is my consciousness which will always inform me what is wrong and what is right as ‘sañjaya’ communicated with dhṛtarāṣṭra through out. The meaning – Though I can see I am blind like dhṛtarāṣṭra blinded by attachments I cannot see and even fail to apply my mind and degenerate my body which up to now is the ‘spiritual abode’ of my atma. My ego(bad) fails to see the good. I even fail to listen to my conscious and inclined to make this spiritual place my body into a battlefield the resultant is only ‘confusion and distruction' within me. God Bless

Answer 5

sec²x = (cosx)^-2. Using the chain rule, this differentiates to

-2(cosx)^-3 * (-sinx)
= 2sinx / cos³x

Answer 6

It's a graph, unless you know "x".