What is the derivative of 10x+4y ?

The derivative of 10x+4y is 10+4(dy)/(dx)

What is the first derivative of 10x+4y ?

The first derivative of 10x+4y is 10+4(dy)/(dx)

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\frac{d}{d x} (10 x + 4 y)

10 + 4 \frac{d y}{d x}

Solution steps

\frac{d}{d x} (10 x + 4 y)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 x) + \frac{d}{d x} (4 y)

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (4 y) = 4 \frac{d y}{d x}

= 10 + 4 \frac{d y}{d x}

8 tan (2 x)

\frac{d}{d x} (x^{2} - 64)

x \to 28 lim (\frac{x ^{2}}{4} - \frac{7}{x})

2 \frac{d y}{d x} - 4 x y = 8 x

What is the derivative of 10x+4y ?
The derivative of 10x+4y is 10+4(dy)/(dx)
What is the first derivative of 10x+4y ?
The first derivative of 10x+4y is 10+4(dy)/(dx)