Differentiate the following functions with respect to x :
log3 x+3 log3 x+2 tan x
We have,
ddxf(x)=ddx(log3 x+3 log3 x+2 tan x)
=1log3ddx(log x)+3ddx(log x)+2ddx(tan x) [∵ log3x=log xlog 3]
=1log 3×1x+3x+2sec2 x=1xlog 3+3x+2sec2x
Differentiate the following functions with respect to x
sec (tan√x)
cos (√x)
2xcot x√x
xsinnx