Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off


If the normal to the curve y=f (x) at the point (3, 4) makes an angle 3 p/4 with the positive x-axis then f' (3) =
(A) –1                                      (B) –3/4
(C) 4/3                                

7 years ago


Answers : (2)


y =f(x)

Slope of the normal at (x,y) to the curve = -1/f'(x)

Given, -1/f'(x) = tan (3pi/4) =-1,

So, f'(3)=1.

7 years ago

Slope of normal to y = f(x) at (3,4) is -1/f'(3). Thus

-1 / f'(3) = tan (3∏ / 4 ) = tan(∏/2 + ∏/4) = -cot(∏/4) = -1

=> f'(3) = 1


Hope that helps :)

6 years ago

Post Your Answer

Other Related Questions on Differential Calculus

the subnormal at any point on the curve xy n = a n+1 is constant for?
The subnormal is constant for any value of x, y, and even n, . X, Y belongs to R and n belongs to N. Because given equation denotes a simple curve so subnormal have not any restrinction...
Pushparaj Patel one year ago
What is the ranges and domains of hyperbolic sine and cosine functions.please give a hint to derive this with explanations
For sinhx range and domain are equal and is equal to all real numbers.but for coshx domains is r but range is [1,infinity)
H AGGARWAL 9 months ago
Can anyone solve this problem and provide the solution
as x tends to infinty x= x-1 =x+1 f(x)= 1/2( f(x)+ 3/f(x)) f(x)/2 = 3/2f(x) f(x) 2 = 3 Hence b
Harsh Patodia 6 months ago
the answer for your question is square root of three.that will come by solving all the best for your bright future
Prabhakar ch 6 months ago
IN TRIANGLE ,ABC the value ogf the following equation … COS( B+2C+3A)+COS(A-B) is
Dear Student, Here you can write, B + 2C + 3A = pi + C + 2A = K(let), so cos(K) = -cos(2A+C), Therefore, now given equation becomes, cos(A-B) – cos (2A+C) now from here you can...
Vijay Mukati 3 months ago
how to solve this please explain in detail and do not ignore me.
your question is very important to us and ans is very important to you i will tell you how to do this
sahil sharma 3 months ago
the image is invalid nc piajlskcnSLIDUCBwpviu WVIJN sdckndsfoIHFIJnfpQHFijnv isddV WUPNVwjefP WVwijvnSIDJVNdsip j vnPWJwipubvwjo vnWP IUBHwobWORHB wpovn
Shubhang Arora 3 months ago
the questions are attached! …............................................................................................i want the solution for both the questions.
Apply the simple formulae of cosine for two vectors given to find the angle b/w them and comapre with thw options. Cos@ = a.b/|a||b|
Vikas TU 4 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 400 off

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details