Normal to y=f(x) , Mathematics

Assignment Help:

If the normal to y=f(x) makes an angle of pie/4 with y-axis at (1,1) , then f''(x) is eqivalent to?

Ans) The normal makes an angle 135 degree with the x axis.

also f ''(1)=1 .....[since the tan pie/4=1=slope of normal]

Also the graph passes by (1,1) so

f(1)=1,and already proved....

f ''(1)=1

Both these are possible only if  f(x)= [x^2 + 1] / 2

hence  f '''' (x) = 1 

 

 


Related Discussions:- Normal to y=f(x)

Word problem, a recipe good for 4 servings require 1/8 tsp. black pepper an...

a recipe good for 4 servings require 1/8 tsp. black pepper and 1/2 tsp. of salt. how much black pepper and how much salt needed for 2 servings?

Factors, write down all the factors of 36

write down all the factors of 36

Explain basic concepts of parallel lines, Explain Basic Concepts of Paralle...

Explain Basic Concepts of Parallel Lines ? Parallel lines are defined in section 1.2 and we use "//" to denote it. From the definition, we can get the following two consequenc

Simple equations, three times the first of the three consecutive odd intege...

three times the first of the three consecutive odd integers is 3 more than twice the third integer. find the third integer.

What is the percent of increase heating oil, The price of heating oil rose ...

The price of heating oil rose from $1.10 per gallon to $1.43 per gallon. What is the percent of increase? The price of heating oil rose $0.33 ($1.43 - $1.10 = $0.33). To ?nd ou

How many cousins does robert have- miscellaneous math, Bonnie has twice as ...

Bonnie has twice as many cousins as Robert. George has 5 cousins, which is 11 less than Bonnie has. How many cousins does Robert have? Work backwards to find the solution. Geor

Vector calculus, If F ( x,y, z) = x y² y4 i + ( 2x2 y + z) j - y3 z² k, fin...

If F ( x,y, z) = x y² y4 i + ( 2x2 y + z) j - y3 z² k, find: i). question #Minimum 100 words accepted#

Terminology related to division, Terminology related to division :   A goo...

Terminology related to division :   A good way to remedy this situation is to familiarise children with these concepts in concrete, contexts, to start with. For instance, if a chi

Probability, The probability that a leap year will have 53 sunday is ? and ...

The probability that a leap year will have 53 sunday is ? and how please explain it ? (a)1/7    (b) 2/7    (c) 5/7    (d)6/7 Sol) A leap year has 366 days, therefore 52 weeks i.e

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