Question

Do you agree or disagree with the statement 'the instantaneous rate of change of the function f(x)=X^5ln(x) at the point (1,0) is 1? Show working to support your answer

Answer 1

f' = 5* x^4 * lnx + x^5 * 1/x

Answer 2

ln (1) = 0 so the first part can be disregarded

then you have (1)^5 * 1/(1) = 1
so, yes the answer is 1

Answer 3

so you find the derivative of f and pug 1 into the equation.