- #1
NP04
- 23
- 1
- Homework Statement
- why does the derivative of a cylinder's volume (its surface area) = 2πrh+2πr^2
- Relevant Equations
- Power rule: [d/dx]x^n = nx^(n-1)
Product Rule: y' = ab' + ba'
Volume of a cylinder = (πr^2)h
Surface Area of a cylinder = 2πrh+2πr^2
Using product rule, we have:
[d/dx] (πr^2)(h)
= (πr^2)(1 ) + (2πr)(h)
Why is the two there? V = 2 πrh+2πr^2
The derivative of h is 1, not 2.
Please help!
[d/dx] (πr^2)(h)
= (πr^2)(1 ) + (2πr)(h)
Why is the two there? V = 2 πrh+2πr^2
The derivative of h is 1, not 2.
Please help!