Question

Find the derivative by first principle:
x sec x

Answer 1

Answer:

sec x (x tan x +1)

Step-by-step explanation:

Here, the given equation is

x sec x

differentiate with respect to x

$\frac{d}{dx}$ (x sec x)

differentiation of sec x is sec x tan x

$=x\frac{d}{dx} (sec x)+ sec x \frac{d}{dx} (x)\\= x sec x tan x + sec x (1)$

sec x is the common term in it

So, we take sec x common

Now the answer will be

sec x (x tan x +1)