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

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

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

expand

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

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

Solution steps

(x + d x) (y cos (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

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

3.3 (3 - 0.2 h) h^{1, 5}

\frac{( θ - X _{2} θ ^{3} ) ^{2}}{2}

(- y^{2} + 1) d x

(x^{2} + x - 2)^{5}

(1, 2, - 2) \cdot (x, x^{2}, x^{3})

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