Applications of...

The instantaneous rate of change at t = 1 for the function f (t) = te^−t  + 9 is

The equation of the tangent to the curve  y = e^2x at the point (0, 1) is

The smallest value of the polynomial  x³ −18x² +96  in the interval [0, 9] is

Let f (x) = (x² −4)^1/3 , then f has a

If the graph of a differentiable function y = f (x) meets the lines y = –1 and y = 1, then the graph

Let f(x) =  where x >0, then f is  

The equation of the tangent to the curve  y=(4 −x² )^2/3  at x = 2 is

Given that f (x) = x^1/x  , x >0, has the maximum value at x = e,then

The function f (x) = x³ has a