CPM Homework Help : CALC Problem 3-15

Remember the conjecture developed in problem 3-5 and find the slope function, f ′(x), for each of the following functions. Homework Help ✎
1. f(x) = x⁹
2. f(x) = x¹³
3. f(x) = 2x
4. f(x) = 6

Hint (a):

BASIC CONJECTURE that you should have made during class:The slope function is one-degree lower than the original function.

Hint (a):

ADVANCED CONJECTURE that you might have made during class:The slope function is one degree lower than the original function AND stretched by the degree of the original function.

Answer (a):

slope function = 9x⁸

Hint (b):

Refer to hint for part (a).

Hint (c):

This one does not require a conjecture - an Algebra I student could do it! This is the equation of a straight line. What is its slope?

Hint (d):

Refer to hint for part (c).