Question

What is the rate of change of the following equation? y = 5x + 4​

Answer 1

Answer:

5

Step-by-step explanation:

Rate of change of the equation y = 5x + 4 can be obtained by differentiating it with respect to x.

$\because \: y = 5x + 4 \\ \therefore \: \frac{dy}{dx} = \frac{d}{dx} (5x + 4) \\ \\ = 5 \frac{d}{dx} x + \frac{d}{dx} 4 \\ \\ = 5 \times 1 + 0 \\ \therefore \: \frac{dy}{dx} = 5$

Hence, rate of change of y = 5x + 4 is 5.