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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

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

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

(y - x y^{'} (x))^{4}

B (e^{x} x + 2 e^{x})

9 (z - 3 = 12 z)

\frac{1.5 ( s + 3 )}{s ( s + 1 ) ( s + 2 )}

\frac{s ( s + 11 )}{( 10 + s ) ( s + 100 )}

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