What is the instantaneous rate of change of f(x)=7x3−8x2+9x at x=2?

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bioadferatxh · Accepted Answer

Find the value of the first derivative at x=2Explanation:f′(x)=21x2−16x+9f′(2)=21(22)−16(2)+9=61instantaneous rate of change =61

chiovolopk9 · Accepted Answer

Solution:Differentiate 7x3−8x2+9x term by term:The derivative of a constant times a function is the constant times the derivative of the function.Apply the power rule: x3 goes to 3x2So, the result is: 21x2The derivative of a constant times a function is the constant times the derivative of the function.The derivative of a constant times a function is the constant times the derivative of the function.Apply the power rule: x2 goes to 2xSo, the result is: 16xSo, the result is: -16xThe derivative of a constant times a function is the constant times the derivative of the function.Apply the power rule: x goes to 1So, the result is: 9The result is: 21x2−16x+9

What is the instantaneous rate of change of

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