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

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

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expand (cos(y))(x+dx)

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Remove parentheses:

(a) = a

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

\frac{1}{( s + 3 ) ( s + 7 )}

\frac{x + 1}{( x - 2 ) ^{2}}

y d x + (2 x + 3 y) d y

\frac{1}{( j ) ( j + 1 ) ( j + 0.5 )}

\frac{x + 1}{( x - 1 ) ^{2} ( x ^{2} + 1 )}

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