Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the derivative of #f(x) = sin (cos (tanx) )#?

1 Answer

Mar 13, 2018

#f'(x)=-sec^2xsin(tanx)cos(cos(tanx))#

Explanation:

#f(x)=sin(g(x))#
#f'(x)=g'(x)cos(g(x))#

#g(x)=cos(h(x))#
#g'(x)=-h'(x)sin(h(x))#

#h(x)=tan(x)#
#h'(x)=sec^2x#

#g'(x)=-sec^2xsin(tanx)#
#g(x)=cos(tanx)#

#f'(x)=-sec^2xsin(tanx)cos(cos(tanx))#

Related questions

See all questions in Chain Rule

Impact of this question

7566 views around the world

You can reuse this answer
Creative Commons License