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derivative of inverse function

derivative of lnx
means that if u is a function of d/dx lnu = 1/u * u’

derivative of log base a of x
means that if u is a function of d/dx log base a of u then its equal to 1/ulna * u’

derivative of e^x
which means that if u is a function then its e^u times u’

derivative of a^x
which means that if u is a function of x then its a^u times lna times u’

derivative of inverse sin of x

derivative of inverse cos of x

derivative of inverse sec of x

derivative of inverse csc of x

derivative of inverse tan of x

derivative of inverse cot of x
