What is expand (cos(x+2y))(1+(2dy)/(dx)) ?

The solution to expand (cos(x+2y))(1+(2dy)/(dx)) is cos(x+2y)+(2cos(x+2y)dy)/(dx)

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expand (cos(x+2y))(1+(2dy)/(dx))

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = (cos (x + 2 y)), b = 1, c = \frac{2 d y}{d x}

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

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

Simplify

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

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

\frac{1}{( n - 1 ) ! ( n + 1 )}

d x (3 x^{3} + cos (x))

f (f (f (- 2, 8) + 3.5) - 1)

W (8, - 1) X (11, - 3) Y (7, - 9)

3 (5 x + 7) - 6 (4 - 2 x)^{'}

What is expand (cos(x+2y))(1+(2dy)/(dx)) ?
The solution to expand (cos(x+2y))(1+(2dy)/(dx)) is cos(x+2y)+(2cos(x+2y)dy)/(dx)