What is expand (x+dx)(xcos(x)) ?

The solution to expand (x+dx)(xcos(x)) is x^2cos(x)+xcos(x)dx

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expand (x+dx)(xcos(x))

expand

(x + d x) (x cos (x))

x^{2} cos (x) + x cos (x) d x

Solution steps

(x + d x) (x cos (x))

Apply the distributive law:

a (b + c) = ab + a c

a = (x cos (x)), b = x, c = d x

= (x cos (x)) x + (x cos (x)) d x

= x (x cos (x)) + (x cos (x)) d x

Simplify

x (x cos (x)) + (x cos (x)) d x : x^{2} cos (x) + x cos (x) d x

= x^{2} cos (x) + x cos (x) d x

\frac{2100 t - 2000}{t ( t - 20 )}

x (y = 2 - lo g_{10} (x))

4 (x - 2 = 2 (2 x - 1))

(2 x + 2) (ln (x))

\frac{s}{( 2 s + 2 ) ( s - 2 )}

What is expand (x+dx)(xcos(x)) ?
The solution to expand (x+dx)(xcos(x)) is x^2cos(x)+xcos(x)dx