Question

Differentiation of tan x ?

Please write the steps too .​

Answer 1

Answer:

diff. with x

d/dx tan x = 1/ cos²x

= sec²x

hope its help

Answer 2

The derivative of tan x is sec2x. When the tangent argument is itself a function of x, then we use the chain rule to find the result.

The derivative of tanx is sec2x

#d/dx tanx = lim_(h->0) (tan(x+h)-tanx)/h# Using the trigonometric formulas for the sum of two angles: #tan(x+h) = sin(x+h)/cos(x+h)# ...

#tan(x+h) = (tanx+tan(h))/(1-tanx tan(h))# So: ...

#d/dx tanx = (1+tan^2x ) lim_(h-