Question

find the following derivatives of the following functions f(x) (1) √2x-3+√7-3x​

Answer 1

Answer:

let f(x)=x1+tanxf(x)=x1+tanx

f'(x)=(x1+tanx)'f′(x)=(x1+tanx)′

=(x')(1+tanx)−x(1+tanx)'(1+tanx)2=(x′)(1+tanx)-x(1+tanx)′(1+tanx)2

=1(1+tanx)−x(secx)(1+tanx)2=1(1+tanx)-x(secx)(1+tanx)2

=1+tanx−xsec2x(1+tanx)2=1+tanx-xsec2x(1+tanx)2

=1+tanx−xsec2x1+2tanx+tan2x=1+tanx-xsec2x1+2tanx+tan2x

=1+tanx−xsec2xsec2x+2tanx=1+tanx-xsec2xsec2x+2tanx

answer