Use the first derivative test to find the two critical points of the function. First point:

The function 𝑓(𝑥,𝑦)=𝑥3−3𝑥−2𝑥𝑦−𝑦2−2𝑦+4 has two critical points. Find and classify them

Find all relative extrema of the function. Use the second derivative test where applicable. (If an answer does not exist, enter DNE.)f(x) = x4 − 8x3 + 1

Find the derivative of the given function. Use all lower case letters.h(x) = ax3 + bch'(x) =

Consider the function   , where    is a constant parameter. The first derivative of this function with respect to the variable   is

Show that there are two turning points on the curve y= x3+ x1. Determine the nature of each turning pointusing the first derivative method