Answer:
Below in bold.
Step-by-step explanation:
4. y = x^5 - 7x
Finding the derivative:
y' = 5x^4 - 7
This is the formula for the slope at any point on the curve.
At (1, -6) the slope = 5(1)^4 - 7= 5 - 7 = -2.
5. y = 4x - 1/x
y = 4x - x^-1
y' = 4 - (-1x^-2)
y' = 4 + 1/x^2
The slope at (-1,-3)
= 4 + 1/ (-1)^2
= 4 + 1
= 5.
