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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

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

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

16 e^{4 x} (1 + e^{4 x})

\frac{( x ^{3} - 2 ) ^{9}}{x ^{18}}

(d - e)^{3}

(1, 0, - 3) x (5, 2, 6)

(3.5 - e^{- x})^{2}

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