What are derivations in Trigonometric

If f( x) = sin x, then f′( x) = cos x.If f( x) = cos x, then f′( x) = −sin x.If f( x) = tan x, then f′( x) = sec 2 x.If f( x) = cot x, then f′( x) = −csc 2 x.If f( x) = sec x, then f′( x) = sec x tan x.If f( x) = csc x, then f′( x) = −csc x cot x.

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a