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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

1 \cdot cos (x + y) = cos (x + y)

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

(b + c) (d - e)

\frac{2}{s ( s + 2 )}

(cot (x) - csc (x)) (cos (x) + 1)

\frac{2}{5 ( 6 - 5 p )}

(2 x + 3)^{2}

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