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

Circles, examples of construction of excircles

examples of construction of excircles

Learning to count in maths, Here we learn: 1) Discussed what counting me...

Here we learn: 1) Discussed what counting means, and stressed that it is not the ability to recite number names. 2) Talked about the need for a child to understand several pr

Method of cylinders or method of shells, Method of cylinders or method of s...

Method of cylinders or method of shells The formula for the area in all of the cases will be,                                                        A = 2 ∏ ( radius ) (heig

Find the area of the shaded region of square, In the adjoining figure, ABCD...

In the adjoining figure, ABCD is a square of side 6cm.  Find the area of the shaded region. Ans:    From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB

Solve the subsequent quadratic equation, Solve the subsequent quadratic equ...

Solve the subsequent quadratic equation: Solve the subsequent quadratic equation through taking the square roots of both sides. 3x 2 = 100 - x 2 Solution: Step 1

Differentiate y = x x using implicit differentiation, Differentiate y = x ...

Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1                                 d (a x ) /dx= a

Pre-algebra, How do you solve a table to get the function rule?

How do you solve a table to get the function rule?

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