What is expand-sin(4x-3y)(4-3(dy)/(dx)) ?

The solution to expand-sin(4x-3y)(4-3(dy)/(dx)) is -4sin(4x-3y)+3sin(4x-3y)(dy)/(dx)

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expand-sin(4x-3y)(4-3(dy)/(dx))

expand

- sin (4 x - 3 y) (4 - 3 \frac{d y}{d x})

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

Solution steps

- sin (4 x - 3 y) (4 - 3 \frac{d y}{d x})

Apply the distributive law:

a (b - c) = ab - a c

a = - sin (4 x - 3 y), b = 4, c = 3 \frac{d y}{d x}

= - sin (4 x - 3 y) \cdot 4 - (- sin (4 x - 3 y)) \cdot 3 \frac{d y}{d x}

Apply minus-plus rules

- (- a) = a

= - 4 sin (4 x - 3 y) + 3 sin (4 x - 3 y) \frac{d y}{d x}

1 + \frac{1}{4} + \frac{1}{9} + \frac{1}{16} + \frac{1}{25}

\frac{k}{s ( s ^{2} + s + 1 ) ( s + 2 )}

π (r + 3)^{2}

\frac{( 2 x - 1 ) ( x + 1 )}{( x - 1 )}

(x^{3} + 3 x^{2} + 6 x) e^{x}

What is expand-sin(4x-3y)(4-3(dy)/(dx)) ?
The solution to expand-sin(4x-3y)(4-3(dy)/(dx)) is -4sin(4x-3y)+3sin(4x-3y)(dy)/(dx)