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

probability: complying with this treatment, A national study found that tr...

A national study found that treating people appropriately for high blood pressure decreased their overall mortality rate by 20%. Treating people adequately for hypertension has bee

Derive a linear system - gauss jordan elimination, Suppose that, on a certa...

Suppose that, on a certain day, 495 passengers want to fly from Honolulu (HNL) to New York (JFK); 605 passengers want to fly from HNL to Los Angeles (LAX); and 1100 passengers want

Math, 3 9/10 into decimal

3 9/10 into decimal

Choose a topic in measurement and design two activities, a) Choose a topic ...

a) Choose a topic in measurement, and design two activities in your context to help your pupils explore and learn the concept. b) Try these activities out on a few children, and

Quantitative Techniques, You are given that the total frequency is 900 and ...

You are given that the total frequency is 900 and the median 100.48. From the following frequency distribution, find the class frequencies that are missing. Intelligence No. of Int

Unconditional and conditional probability, Two events A and B are ind...

Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event B. Likewise for independent

Decmals, just want to go over it

just want to go over it

Factors, What are the factors of 956

What are the factors of 956

Trig substitutions - integration techniques, Trig Substitutions - Integrati...

Trig Substitutions - Integration techniques As we have completed in the last couple of sections, now let's start off with a couple of integrals that we should previously be

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