What is expand dy(x+y^3-y^2*sin(x)) ?

The solution to expand dy(x+y^3-y^2*sin(x)) is xdy+y^3dy-y^2sin(x)dy

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expand dy(x+y^3-y^2*sin(x))

expand

d y (x + y^{3} - y^{2} \cdot sin (x))

x d y + y^{3} d y - y^{2} sin (x) d y

Solution steps

d y (x + y^{3} - y^{2} sin (x))

Distribute parentheses

= d y x + d y y^{3} + d y (- y^{2} sin (x))

Apply minus-plus rules

+ (- a) = - a

= x d y + y^{3} d y - y^{2} sin (x) d y

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

\frac{f ( 4 x - 5 + h ) - 4 x - 5}{h}

cos (x) d x + (1 + \frac{2}{y}) sin (x)

\frac{3 ( - t ^{4} + 12 t ^{2} - 12 )}{2 t ^{2}}

What is expand dy(x+y^3-y^2*sin(x)) ?
The solution to expand dy(x+y^3-y^2*sin(x)) is xdy+y^3dy-y^2sin(x)dy