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

The solution to expand (ycos(x))(x+dx) is yxcos(x)+ycos(x)dx

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expand (ycos(x))(x+dx)

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Remove parentheses:

(a) = a

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

\frac{1}{2} (1 - e^{- 10 t})

\frac{n \cdot ( n - 3 )}{2}

\frac{( x - 3 )}{( x - 4 ) ( x - 2 )}

(π, 3, - 1) \cdot (2 π, - 3, 7)

(3, 0, 5) x (1, 4, - 2)

What is expand (ycos(x))(x+dx) ?
The solution to expand (ycos(x))(x+dx) is yxcos(x)+ycos(x)dx