Question

Asked Oct 20, 2019

1 views

Let f (x) = x^{1/3}(4x + 6)^{2/3}. Find f ' (x) and the critical numbers for f.

f ' (x) =

, where

A =

B =

C =

D =

The critical numbers of f are (list in increasing order):

x =

x =

x =

f ' (x) =

Ax + B |

3 x^{C} (4x + 6)^{D} |

A =

B =

C =

D =

The critical numbers of f are (list in increasing order):

x =

x =

x =

(Enter DNE in any unused answer blank.)

Step 1

Use product rule to find f'(x).

Step 2

Simplify it using LCD

Answer: **A=5, B=6, ...**

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Jane is ?=2 mi offshore in a boat and wishes to reach a coastal village ?=7 mi down a straight shore...

A: Consider the given information:

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation...

A: Given that

Q: $280 for a party of 5, cost per plate is $15, write an equation that models the cost of a dinner.

A: The cost per plate is given as $15 and the total production cost is $280 for the party of 5.The cost...

Q: A (square) baseball diamond has sides that are 90 feet long. A player 21 feet from third base is run...

A: The scenario given in the above question can be pictorially depicted as

Q: Two people start biking from the same point. One heads east at 13 mph, the other south at 17 mph. Wh...

A: Given, two bikers start at same point. One heading east at 13mph and other heading south at 17 mph.

Q: Calculus Question

A: Given that, P / T = k.This implies that, P = kT.Differentiate the function with respect to t.

Q: r4 2V dx Vx 15. 1

A: The integral is given by,

Q: Let f(x)=x+(1−x)^(1/2) Find the local maximum and minimum values of f using both the first and secon...

A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test is:f''(x...

Q: As a fungus grows, its rate of growth changes. Young fungi grow exponentially, while in larger fun...

A: The function R(t) represents the model of rate of growth of fungus as a function of time.