What is the derivative of 2x-5y+3 ?

The derivative of 2x-5y+3 is -5(dy)/(dx)+2

What is the first derivative of 2x-5y+3 ?

The first derivative of 2x-5y+3 is -5(dy)/(dx)+2

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

- 5 \frac{d y}{d x} + 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 y) = 5 \frac{d y}{d x}

\frac{d}{d x} (3) = 0

= 2 - 5 \frac{d y}{d x} + 0

Simplify

= - 5 \frac{d y}{d x} + 2

What is the derivative of 2x-5y+3 ?
The derivative of 2x-5y+3 is -5(dy)/(dx)+2
What is the first derivative of 2x-5y+3 ?
The first derivative of 2x-5y+3 is -5(dy)/(dx)+2