Question
Asked Nov 11, 2019
45 views
Question 13
What is r' (k) when k
3 and r(x)
(2)6
Select the correct answer below:
618 (6ln 6+ 3)
O 618 (2ln 6)
O 18(67)
O 618 (6ln 6 + 6)
FEED
A: S
Content attribution
help_outline

Image Transcriptionclose

Question 13 What is r' (k) when k 3 and r(x) (2)6 Select the correct answer below: 618 (6ln 6+ 3) O 618 (2ln 6) O 18(67) O 618 (6ln 6 + 6) FEED A: S Content attribution

fullscreen
check_circle

Expert Answer

Step 1

Given,

help_outline

Image Transcriptionclose

r(x)(2x)

fullscreen
Step 2

Differentiating by using logarithmic diff...

help_outline

Image Transcriptionclose

Applying natural log on both sides In[r(x)]=In[(2x)"] In[r(x)]=6x-n[(2x)] [Inx = y-mx] Now differentiating with respect to x 1 r'(x) 6(x). In ( 2.x) + - (n (2x) x 1 2x 2x r(x)=6-P(x) 1-In(2x)+ (x)6(2x) [n (2x) +1] now replacing x by k, we get r(k)6(2k) [In (2k) + 1]

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Derivative

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: This seems to be a multi variable question. I got the equations x+y+z=24 and w=x2+y2+z2

A: Lagrange’s multiplier is used to find maxima and minima of a function.We start by finding the critic...

question_answer

Q: Find a set of parametric equations for the rectangular equation. y=(x+3)2 /5

A: Refer to the question, we have to write the set of parametric equations for the rectangular equation...

question_answer

Q: What is an estimate of g(21) using the midpoint to get the most precise estimate?

A: We need to estimate g(21) by using the mid-point rule.Note:By looking at the part (a), it seems that...

question_answer

Q: how do you find the central angle of a sector

A: Central angle:             An angle whose vertex is the center of a circle and whose sides passes th...

question_answer

Q: convert the equation to the standard form for an ellipse by completing the square on X and Y. State ...

A: First we separate the x and y terms and then take out the coefficient of x2,y2 

question_answer

Q: Consider the following function: f(x)=x^4e^-x a.) find intervals on which f is decreasing or increas...

A: Given function

question_answer

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

A: Formula for the average value of a function:

question_answer

Q: Let h(t) = tan t.Find the maximum and minimum values of h on the interval I = [0, π/6]. Then use the...

A: Given function:

question_answer

Q: f(x)=2x^3-(15x^2)-36x+7 on the interval [-6,9]    By the Mean Value Theorem, we know there exists at...

A: Given function