Question

Y=5tanx+3cosx-4 find derevatie

Answer 1

Answer:

5 sec² x - 3 sin x.

Step-by-step explanation:

Given :

y = 5 tan x + 3 cos x - 4

Diff. w.r.t. x

d y / d x = d ( 5 tan x + 3 cos x - 4 ) / d x

y' = 5 d ( tan x ) / d x + 3 d ( cos x ) / d x - d ( 4 ) / d x

y' = 5 sec² x + 3 ( - sin x ) - 0

y' = 5 sec² x - 3 sin x.

Therefore , final answer is (  5 sec² x - 3 sin x ).

Answer 2

Answer:

$\frac{dy}{dx}=5sec^2x-3sinx$

Step-by-step explanation:

$\frac{d}{dx}tanx=sec^2x\\\frac{d}{dx}cosx=-sinx$