Could someone help me to do the mentioned equation,please?

e^(2ln(tan5x))=?

1 Answer
Dec 4, 2017

10tan5xsec^2 5x

Explanation:

"assuming you require the derivative"

"note that "e^lnx=x

rArre^(2ln(tan5x))=e^(ln(tan5x)^2)=(tan5x)^2

"differentiate using the "color(blue)"chain rule"

"given "y=f(g(x))" then "

dy/dx=f'(g(x))xxg'(x)larrcolor(blue)"chain rule"

d/dx((tan5x)^2)

=2tan5x xxd/dx(tan5x)

=2tan5xsec^2 5x xxd/dx(5x)

=10tan5xsec^2 5x