Do you know how to differentiate an expression?

The rate of change of population is the gradient of the graph of y = 6t^2 + 110t + 3000.

To find the gradient at any point, we make use of differentiation.

In this case, the differentiation is done by 'lowering' the power of the variable. Let me give you an example:

y = 2x

Reduce the power of x by 1, this means that x will go from x^1 to x^0 = 1, hence, differentiating [tex]y = 2x[tex] gives

Differentiate to give:

Basically, if you have , the derivative is

Now, can you try your problem?