Question

derivative of tan inverse x raise to power 4
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Answer 1

Answer:

4/(16x^2 +1)#

Derivative of #tan^-1 4x# can be written using the formula for the derivative of #tan^-1x# = #1/(1+x^2)#

#d/dx tan^-1 4x# = #1/(16x^2 +1) d/dx (4x)#

= #4/(16x^2 +1)#