What is expand (x^2+y^2)dx+(2x+cos(y))dy ?

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

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expand (x^2+y^2)dx+(2x+cos(y))dy

expand

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

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

Solution steps

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

Expand

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

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

Expand

d y (2 x + cos (y)) : 2 x d y + cos (y) d y

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

(100 sin (π t) - 50)^{2} (0.01)

(f (x) = 2 x - 3) (h (x))

\frac{x ( x + h ) ^{3} - ( x ^{3} )}{h}

\frac{5 ( 2 x + 9 )}{12}

\frac{1}{2 ( 1 + 2 h ) [ 6 + 6 h ]}

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