Question

Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2-2, from x=-1 to x=1

Answer 1

1

∫ f(x) dx = x⁵/5 + 3x⁴/4 - 5x³/3

-1

[1⁵/5 + 3⁴/4 - 5³/3] - [ -1⁵/5 -3⁴/4 +5³/3]

plug that into your calculator and that's your rate of change