Differentiate quotient rule functions, Mathematics

Assignment Help:

Example of quotient rule : Let's now see example on quotient rule.  In this, unlike the product rule examples, some of these functions will require the quotient rule to get the derivative. However the last two, we can ignore the quotient rule if we'd like to as we'll see.

Example   Differentiate following functions.

                       W ( z ) = 3z + 9 /2 - z

Solution

There isn't a lot to do here other than to use the quotient rule.  Following is the work for this function.

W ′ ( z ) = 3( 2 - z )- (3z + 9) ( -1) / (2 - z )2

               =15 /(2 - z )2

 

 


Related Discussions:- Differentiate quotient rule functions

Inverse cosine, Inverse Cosine : Now see at inverse cosine.  Following is ...

Inverse Cosine : Now see at inverse cosine.  Following is the definition for the inverse cosine.                         y = cos -1 x       ⇔ cos y = x                   for

Example of quadratic polynomial, Factor following.                    x ...

Factor following.                    x 2 - 20 x + 100 Solution In this case we've got three terms & it's a quadratic polynomial.  Notice down as well that the constant

Demerits and merit-the geometric mean , The geometric mean Merits ...

The geometric mean Merits i.  This makes use of all the values described except while x = 0 or negative ii.   This is the best measure for industrial increase rates

Find out the volume of the solid -y = (x -1) ( x - 3)2, Find out the volume...

Find out the volume of the solid obtained by rotating the region bounded by y = (x -1) ( x - 3) 2 and the x-axis about the y-axis. Solution Let's first graph the bounded r

Derivative for the trig function, Derivative for the trig function: We'll ...

Derivative for the trig function: We'll begin with finding the derivative of the sine function. To do this we will have to utilize the definition of the derivative. It's been wher

Simple harmonic motion, prove that the composition of two simple harmonic o...

prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.

Introduction to multiplication and division, INTRODUCTION :  When a Class ...

INTRODUCTION :  When a Class 5 child was given the problem 'If I paid Rs. 60 for 30 pencil boxes, how much did b pencil box cost?', he said it would be 60 x 30 = 1800. This

Find the length and breadth of the rectangle, The area of a rectangle gets ...

The area of a rectangle gets decreased by 8 m2, if its length  is decreased by 5 m and breadth increased by 3 m. If we enhance  the length by 3 m and breadth by 2 m, the area is en

Trigonometry, Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA

Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA

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