What is expand dy(4/x-4e^x-2sin(x)+3cos(x)) ?

The solution to expand dy(4/x-4e^x-2sin(x)+3cos(x)) is (4dy)/x-4e^xdy-2sin(x)dy+3cos(x)dy

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expand dy(4/x-4e^x-2sin(x)+3cos(x))

expand

d y (\frac{4}{x} - 4 e^{x} - 2 sin (x) + 3 cos (x))

\frac{4 d y}{x} - 4 e^{x} d y - 2 sin (x) d y + 3 cos (x) d y

Solution steps

d y (\frac{4}{x} - 4 e^{x} - 2 sin (x) + 3 cos (x))

Distribute parentheses

= d y \frac{4}{x} + d y (- 4 e^{x}) + d y (- 2 sin (x)) + d y \cdot 3 cos (x)

Apply minus-plus rules

+ (- a) = - a

= \frac{4}{x} d y - 4 e^{x} d y - 2 sin (x) d y + 3 cos (x) d y

Multiply

\frac{4}{x} d y : \frac{4 d y}{x}

= \frac{4 d y}{x} - 4 e^{x} d y - 2 sin (x) d y + 3 cos (x) d y

\frac{- 4 ( b - 1 ) ^{3}}{27}

\frac{4 ( 2 3 - 9 )}{69}

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

\frac{d}{d x} ((z) (3 sin (z) x^{2} - 4 x + 2 y z - y^{2}))

(x^{2} - 4) e^{3 x}

What is expand dy(4/x-4e^x-2sin(x)+3cos(x)) ?
The solution to expand dy(4/x-4e^x-2sin(x)+3cos(x)) is (4dy)/x-4e^xdy-2sin(x)dy+3cos(x)dy