Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #c2366

1 Answer

Nov 2, 2016

#(dy)/(dx)=2atan(ax+b)sec^2(ax+b)#

Explanation:

#y=tan^2(ax+b)#

#u=ax+b=>(du)/(dx)=a#

#y=tan^2u=>(dy)/(du)=2tanusec^2u#

#(dy)/(dx)=(dy)/(du)xx(du)/(dx)#

#(dy)/(dx)=(2tanusec^2u)xxa#

#(dy)/(dx)=2atan(ax+b)sec^2(ax+b)#

Related questions

See all questions in Differentiating Exponential Functions with Other Bases

Impact of this question

1268 views around the world

You can reuse this answer
Creative Commons License