Question

Remember to write all of your work on your paper and box your final answer.

The daily demand equation for pairs of Cowboy boots is p2 − x2 = 400

where x represents the number of pairs of Cowboy boots and p is the unit price in dollars. How fast is the unit price increasing when the quantity is 15 pairs and is increasing at a daily

rate of 10 pairs of boots?

Find the derivative of the function y = (3x + 1)4(x2 + 4)5 (x3 + 5)6

Hint: Use log differentiation.

Answer 1

1)

put x =15,

now,

put x =15, p = 25, dx/dt = 10,

2)