Differentiate exponential functions, Mathematics

Assignment Help:

Differentiate following functions.

(a)    R ( w) = 4w - 5 log9 w

(b)   f ( x ) = 3ex + 10x3 ln x

Solution :  (a) It will be the only example which doesn't includes the natural exponential & natural logarithm functions.

R′ ( w) = 4w ln 4 - (5/w ln 9)

 (b) Not much to this one. Just recall using the product rule on the second term.

f ′ ( x ) = 3ex + 30x2 ln x + 10x3 ( 1 /x)

= 3ex +30x2 ln x + 10x2

 


Related Discussions:- Differentiate exponential functions

Determine the property of join in a boolean algebra, Determine that in a Bo...

Determine that in a Boolean algebra, for any a and b, (a Λ b) V (a Λ b' ) = a.  Ans: This can be proved either by using the distributive property of join over meet (or of mee

Develop a linear program to investment advisory firm, An investment advisor...

An investment advisory firm manages funds for its numerous clients. The company uses an asset allocation model that recommends the portion of each client's portfolio to be invested

Undamped - forced vibrations, We will firstly notice the undamped case. The...

We will firstly notice the undamped case. The differential equation under this case is, mu'' + ku  = F(t) It is just a non-homogeneous differential equation and we identify h

Determine the other two sides of the triangle, The radius of the in circle ...

The radius of the in circle of a triangle is 4cm and the segments into which one side is divided by the point of contact are 6cm and 8cm.  Determine the other two sides of the tria

What is the minimum number of students, Question 1: What is the minimum...

Question 1: What is the minimum number of students each of whom comes from one of the 50 different states, enrolled in a university to guarantee that there are at least 100 who

Statistics., the mean and standarddeviation of set a is -x ans s respective...

the mean and standarddeviation of set a is -x ans s respectively.find the mean and standard deviation of set b

Complex number, a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.fi...

a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd