What is factor derivative of 12x+18y-24 ?

The answer to factor derivative of 12x+18y-24 is 18(dy)/(dx)+12

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factor derivative of 12x+18y-24

factor

\frac{d}{d x} (12 x + 18 y - 24)

18 \frac{d y}{d x} + 12

Solution steps

\frac{d}{d x} (12 x + 18 y - 24)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (12 x) + \frac{d}{d x} (18 y) - \frac{d}{d x} (24)

\frac{d}{d x} (12 x) = 12

\frac{d}{d x} (18 y) = 18 \frac{d y}{d x}

\frac{d}{d x} (24) = 0

= 12 + 18 \frac{d y}{d x} - 0

Simplify

= 18 \frac{d y}{d x} + 12

15 a c - 14 b - 10 a + 21 b c

(cos (x)) + (x^{5})

(x + 5)^{4} + 2 (x + 5)^{2} - 1

5 x^{3} - 7 x^{2}

[- 6.3]

What is factor derivative of 12x+18y-24 ?
The answer to factor derivative of 12x+18y-24 is 18(dy)/(dx)+12