Do you agree or disagree with the statement " the marginal rate of change of the function f(x)=
x5
at the point (2,32) is 80''? Show working to support answer
Solution
You need to find the marginal rate of the given function, hence, you need to differentiate the
function with respect to the argument x, such that:
[f'(x) = (x^5)' => f'(x) = 5x^4]
You need to evaluate the derivative of the function at [x = 2] , such that:
[f'(2) = 5*2^4 => f'(2) = 5*16 = 80]
Hence, checking of the rate of change of the given function at [x = 2] is [f'(2) = 80] yields that
the statement is valid.