What is the instantaneous rate of change for the function f

What is the instantaneous rate of change for the function

f\' (x) =
f\' (2) =

What is the instantaneous rate of change for the function f(x) = 7x^3 - 2x^2 at x = 2? f\'(x) = f\'(2) =

Solution

Dear Student

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Given

f(x) = 7x^3 - 2x^2

Now we know derivative of x^ n = nx ^(n-1)

=> f\'(x) = (7)(3)x^2 - (2)(2)x

= 21x^2 - 4x

Now at x = 2

f\'(2) = 21 (2)^2 - 4(2)

= 84 - 8

= 76 Solution