What is expand (e^{2y}+1)(dy)/(dx) ?

The solution to expand (e^{2y}+1)(dy)/(dx) is e^{2y}(dy)/(dx)+(dy)/(dx)

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expand (e^{2y}+1)(dy)/(dx)

expand

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

e^{2 y} \frac{d y}{d x} + \frac{d y}{d x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{d y}{d x}, b = e^{2 y}, c = 1

= \frac{d y}{d x} e^{2 y} + \frac{d y}{d x} 1

= e^{2 y} \frac{d y}{d x} + 1 \frac{d y}{d x}

Multiply:

1 \frac{d y}{d x} = \frac{d y}{d x}

= e^{2 y} \frac{d y}{d x} + \frac{d y}{d x}

\frac{a ^{2}}{( a - b ) ( a - c )}

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

(3 a + 1 b)^{\frac{1}{3}}

\frac{( y + t ) ^{3}}{3}

5 (- 3)

What is expand (e^{2y}+1)(dy)/(dx) ?
The solution to expand (e^{2y}+1)(dy)/(dx) is e^{2y}(dy)/(dx)+(dy)/(dx)