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2020 days ago by pure022

var('x'); f(x)=arctan(sin(x)) print "f'(x)=", diff(f(x), x) 
       
f'(x)= cos(x)/(sin(x)^2 + 1)
f'(x)= cos(x)/(sin(x)^2 + 1)
var('x'); f(x)=ln(sec(x)+tan(x)) print "f'(x)=", diff(f(x), x) 
       
f'(x)= (tan(x)^2 + tan(x)*sec(x) + 1)/(tan(x) + sec(x))
f'(x)= (tan(x)^2 + tan(x)*sec(x) + 1)/(tan(x) + sec(x))
var('x'); f(x)=sin(2*x^2+1)^6 print "f'(x)=", diff(f(x), x) 
       
f'(x)= 24*x*sin(2*x^2 + 1)^5*cos(2*x^2 + 1)
f'(x)= 24*x*sin(2*x^2 + 1)^5*cos(2*x^2 + 1)