What is the derivative of 6e^x+2y ?

The derivative of 6e^x+2y is 6e^x+2(dy)/(dx)

What is the first derivative of 6e^x+2y ?

The first derivative of 6e^x+2y is 6e^x+2(dy)/(dx)

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\frac{d}{d x} (6 e^{x} + 2 y)

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

Solution steps

\frac{d}{d x} (6 e^{x} + 2 y)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 e^{x}) + \frac{d}{d x} (2 y)

\frac{d}{d x} (6 e^{x}) = 6 e^{x}

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

= 6 e^{x} + 2 \frac{d y}{d x}

(2 x - 4) \frac{d y}{d x} - y^{2} = 0

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

\frac{d}{d x} (\frac{x + 8}{3 x ^{2} e ^{x}})

\frac{d}{d x} (- \frac{x ^{2}}{2} + 5 x + 3)

y^{^{'}} = \frac{( x ^{2} )}{y ( 1 + x ^{3} )}

What is the derivative of 6e^x+2y ?
The derivative of 6e^x+2y is 6e^x+2(dy)/(dx)
What is the first derivative of 6e^x+2y ?
The first derivative of 6e^x+2y is 6e^x+2(dy)/(dx)