# Calculus/Derivatives

In addition, can you walk me through how to get the derivatives for these 2 statements, too?

a) y = x^5/3 - 5x^2/3

b) y = (the cubed root of the quantity) [(x^2 - 1)^2]

Hi there. I need to find the first derivative of this statement.

y=x(x+2)^3

I tried the chain rule, but I think I messed up because I got y'=3(x+2)^5.

The reason I know it's wrong is because I'm trying to sketch the curve and my points are not where they should be.

Help?

Use primarily the product rule

y = x(x+2)^3

y' = (1)(x+2)^3 + x(3)(x+2)^2
=(x+2)^2(1+3x)

a) y'=(5/3)x^(2/3) - (10/3)x^(-1/3)

b) y = [(x^2-1)^2]^(1/3)
= (x^2-1)^(2/3)
then y'=(2/3)(x^2-1)^(-2/3)(2x) etc

Thanks so much!

1. 👍 0
2. 👎 0
3. 👁 197

## Similar Questions

1. ### Physic

You walk 55 m to the north, then turn 60° to your right and walk another 46 m. How far are you from where you originally started? Can someone help me with this question please? I have tried Pythagorean but it did not work. thank

asked by John Yi on August 28, 2012
2. ### math

Mr.Foote placed a cement walk along the side of his house.The walk is 18 inches wide and 32 feet long. What was the cost of the walk at \$2.10 a square foot?

asked by peter on July 6, 2013
3. ### chem

Calculate the pH for each of the following cases in the titration of 50.0 mL of 0.150 M HClO(aq) with 0.150 M KOH(aq). The ionization constant for HClO is 4.0*10^-8 a)before addition of any KOH b)after addition of 25.0 mL of KOH

asked by quinn on July 8, 2012
4. ### Algebra

A woman can bicycle 66 miles in the same time as it takes her to walk 24 miles. She can ride 7 mph faster than she can walk. How fast can she walk? Using r as your variable to represent the rate at which she walks, write an

asked by Susan on May 9, 2016
5. ### Physics

A scout troop is practicing its orientation skills with a map and compass. First they walk east for 1.2km. Next, they walk 45degrees west of north for 2.7km. In what direction must they walk to go directly back to their starting

asked by Jacqueline on September 20, 2008
1. ### math

Keri walks her dog every morning. The length of the walk is 0.55 on each weekday. On each weekend day, the walk is 1.4 times as long as a walk on a weekday. How many kilometers did Keri walk in one week

asked by ash on October 1, 2015
2. ### chemistry

The pKb values for the dibasic base B are pKb1 = 2.1 and pKb2 = 7.4. Calculate the pH at each of the following points in the titration of 50.0 mL of a 0.75 M B(aq) with 0.75 M HCl(aq). (b) after addition of 25.0 mL of HCl (c)

asked by Ashley on April 4, 2013
3. ### math

Danny and Erica are 3km apart on a straight road. They set out to walk uniformly at the same time. If they walk in an opposite direction, they will meet after 24 minutes. If they walk in the same direction, Danny will catch up to

asked by anonymous on April 1, 2018
4. ### Physics: Waves in Media

A scout troop is practicing its orienteering skills with map and compass. First they walk due east for 1.5 km. Next, they walk 32° west of north for 3.5 km. How far and in what direction must they walk to go directly back to

asked by Ryan on June 6, 2011
5. ### Chemistry

1. Calculate the pH for each of the following cases in the titration of 25.0 mL of 0.240 M pyridine, C5H5N(aq) with 0.240 M HBr(aq): (a) before addition of any HBr (b) after addition of 12.5 mL of HBr (c) after addition of 22.0 mL

asked by Mia on February 20, 2014
6. ### Pre-Calculus

Draw the picture and find the area of the parcel of land. Circle your to partial areas and your total area. You start herman a corn and walk 300 yards due north. Then, you turn N 63 degrees E and walk 260 yards. Then, you turn S

asked by Ash on December 3, 2015