Find the instantaneous rate of change of y = 3x² with respect to x at x₀ = 5. A) 6 B) 30 C) 10 D) 15 E) 16

Question

Quizplus · Accepted Answer

The given function is $y = 3x^{2}$, and we are asked to find the instantaneous rate of change at $x = 5$. The derivative of $y = 3x^{2}$ with respect to $x$ is $dy/dx = 6x$. Substituting $x = 5$ into $dy/dx = 6x$ gives $6(5) = 30$, which is the instantaneous rate of change at $x = 5$.

Find the Instantaneous Rate of Change of Y = 3x2

Find the Instantaneous Rate of Change of Y = 3x²