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

What is a function, What is a Function, Anyway? Domain? Range? Next tim...

What is a Function, Anyway? Domain? Range? Next time you're at a fast-food restaurant, take a look at the price list. It may look something like this: • Hamburger.............

Determine the area of the sail, If a triangular sail has a horizontal lengt...

If a triangular sail has a horizontal length of 30 ft and a vertical height of 83 ft , Determine the area of the sail? a. 1,245 ft 2 b. 1,155 ft 2 c. 201 ft 2 d. 2,4

Tied rankings, Tied Rankings A slight adjustment to the formula is mad...

Tied Rankings A slight adjustment to the formula is made if several students tie and have the similar ranking the adjustment is: (t 3 - t)/12 Whereas t = number of tied

Quadratic equations by completing the square method, Can we solve the Quadr...

Can we solve the Quadratic Equations by completing the square method? if yes explain it.

Differential equations, Find the normalized differential equation which has...

Find the normalized differential equation which has {x, xex} as its fundamental set

profit & loss, A sell a watch to B at gain of 20% and B sell to C at loss ...

A sell a watch to B at gain of 20% and B sell to C at loss of 10%. if C pays @ 432, how much did A pays for it.

Find out the tangent line to the parametric curve, Find out the tangent lin...

Find out the tangent line(s) to the parametric curve specified by X = t5 - 4t3 Y = t2 At (0,4) Solution Note that there is actually the potential for more than on

Muptipucation, if 2+2=4 what does two times two epual?

if 2+2=4 what does two times two epual?

LASPEYRES AND PAASCHE, advantages and disadvantages of laspeyres and paasch...

advantages and disadvantages of laspeyres and paasche

Shares, a person having rs.10 shares of value rs.6000 in a company which pa...

a person having rs.10 shares of value rs.6000 in a company which pays a 7% dividend invested the money gained by selling those shares and bought rs.25 shares at rs.24 per share in

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