Question

Hello there!

Can you help me with this Calculus homework? Well I did some of it, but I am stuck with #4, 8 and 10. Just these three!
Don't forget to show your work or details...:)
Thanks and Happy Valentine's Day!

Answer 1

4. dy/dx = -2

8. dy/dx = 1/2 x^(-3/2)

10/ dy/dr = 4 pi r^2

Explanation:

4. y = -2x+7

dy/dx = -2(1)

dy/dx = -2

8. y = 4 - x^-1/2

dy/dx = - (-1/2x^ (-1/2-1)

dy/dx = 1/2 x^(-3/2)

10. y = 4/3 pi r^3

dy/dr = 4/3 pi (3r^2)

dy/dr = 4 pi r^2