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This is indeed calculus. You can learn more it here: http://www.khanacademy.org/math/calculus

have you studied calculus?

|dw:1339262001986:dw|

nope

is this a college course?

11th

11th grade in high school?

You should also, be enrolled in Calculus 1 or what they call Calculus AB

They are using the "power rule" one of the most basic methods to take the derivative.

thats NCERT for you right? or in other words,,CBSE? ;)

yes it is