Recent content by kendalgenevieve

f(x)=x^3-12x^2+15x+16 Use the first derivative to find relative maximums, minimums, or neither. I am trying to find x to plug it back into f(x) to get my y value, but I am not sure if I am getting the correct x value. I did the first derivative and got 3x^2-24x+15. I then set it equal to 0 and...

Simply and find the difference quotient for f(x)= 1/(x-3) I know the difference quotient formula is f(x+h)-f(x)/h but when I try solving it I keep getting it wrong.

I just got -4 so no it does not equal 4

f(x)=\begin{cases}\dfrac{x^2-4}{x+2}, & x\ne-2 \\[3pt] 4, & x=-2 \\ \end{cases} Determine if its continuous at x=-2

When I solved it I got a 0/-6 so would the limit be just zero?

Determine the limit, if it exists. If not, explain why it does not exist. lim x approaches -3 of (x^2+6x+9)/(x-3)