Question

Find the derivation of xcosx from first principle.

Answer 1

Answer:

Step-by-step explanation:

Apply the product rule of derivation:

(f,g)' = f'.g+f.g';

here f = x and g = cos x;

as per the derivative of x anad  cosx we know that;

f' = 1;

g' = -sinx;

so (f,g)'  = 1. cosx + (-sinx) . x;

(f,g)' = cos x - x. sinx; this is the result