Where Does the 3x Come From in e^(sec 3x)?

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In summary, matter is believed to have originated from the Big Bang, while energy has multiple sources including the sun, nuclear reactions, and chemical reactions. The universe is thought to be infinite, but the observable universe is limited by the distance light has had time to travel since the Big Bang. Black holes are formed from the collapse of massive stars, and the Earth's magnetic field is generated by the motion of molten iron in its outer core. The exact processes involved in maintaining the magnetic field are still being studied.
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can someone explain where the 3x comes from in the below example

y = e^(sec 3x)

dy/dx = e^(sec 3x) * d/dx(sec 3x)
= e^(sec 3x) * sec 3x tan 3x d/dx(3x)
^
where does this come from??
 
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Apply the chain rule to sec(3x).
 

FAQ: Where Does the 3x Come From in e^(sec 3x)?

Can someone explain where matter comes from?

Matter is thought to have originated from the Big Bang, a singularity event that occurred approximately 13.8 billion years ago.

Can someone explain where energy comes from?

Energy has multiple sources, including the sun, nuclear reactions, and chemical reactions. The ultimate source of all energy on Earth is the sun, which provides energy through nuclear fusion reactions in its core.

Can someone explain where the universe ends?

The universe is thought to be infinite and does not have a definite end. However, the observable universe is limited by the distance light has had time to travel since the Big Bang, estimated to be about 93 billion light-years in diameter.

Can someone explain where black holes come from?

Black holes are formed from the collapse of massive stars at the end of their life cycles. When a star runs out of nuclear fuel, it can no longer support its own weight and collapses under its own gravity, creating a black hole.

Can someone explain where the Earth's magnetic field comes from?

The Earth's magnetic field is generated by the motion of molten iron in its outer core. This creates a dynamo effect, generating electric currents that create the magnetic field. The exact processes involved in maintaining the magnetic field are still being studied by scientists.

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