If f(x)={{:(x+2, -1 lt x lt 3), (5, x=3)...

If `f(x)={{:(x+2, -1 lt x lt 3), (5, x=3), (8-x, x gt 3):}`, then at x=3, `f'(x)` is

-1

Does not exist

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos
DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION
PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.4|28 Videos
COMBINATORICS AND MATHEMATICAL INDUCTION
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|34 Videos
DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|58 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {{:(2a-x, "for",-a lt x lt a),(3x-2a ,"for", x ge a):} , then which one of the following is true?

If the function f(x)={(x+1",",x le 1),(2x+1",",1lt x le 2):} and g(x)={(x^(2)",", -1 le x lt2),(x+2",",2le x le 3):} then the number of roots of the equation f(g(x))=2

If the function f : R to R is defined by f(x)={{:(2x+7","x lt -2),(x^(2)-2","-2 le x lt 3","),(3x-2","x ge 3):} then find the values of (i) f(4) (ii) f(-2) (iii) f(4)+2f(1) (iv) (f(1)-3f(4))/(f(-3))

Consider the functions f(x)={(x+1",",x le 1),(2x+1",",1lt x le 2):} and g(x)={(x^(2)",", -1 le x lt2),(x+2",",2le x le 3):} The range of the function f(g(x)) is

If the p.d.f. f(x)={{:(x/2",", 0 lt x lt 2), (0",", "elsewhere"):} then E(3x^(2)-2x)= ________.

Consider the functions f(x)={(x+1",",x le 1),(2x+1",",1lt x le 2):} and g(x)={(x^(2)",", -1 le x lt2),(x+2",",2le x le 3):} The domain of the function f(g(x)) is

If the function f: R to R is defined by f (x) {:{( 2x+1 ,xlt-1) ,( x^(2) -1,le x lt 3 ),( 3x-2, xge 3) :} "Find " (f(-1) +f(3))/( 2)

A function f (-3 , 7) to R is defined as follows f (x) = {{:( 4 x^(2) + 1 , ,-3 le x lt 2) , (3x - 2 , ,2 le x le 4) , (2x + 3 , ,4 lt x lt 7):}} Find (i) 5 f(1) - 3 f(-2) (ii) 3f (-3) + 4 f (iii) (7 f (3) - f (-1))/(2 f (6) - f(1))

PREMIERS PUBLISHERS-DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION -SOLUTION TO EXERCISE 10.5

If y=cos(sinx^(2)), " then " (dy)/(dx) " at " x=sqrt(pi/2) is
Text Solution
|
If y=mx+c " and " f(0)=f'(0)=1, " then " f(2) is
Text Solution
|
If f(x)=xtan^(-1)x, then f'(1) is
Text Solution
|
d/dx(e^(x+5logx))
Text Solution
|
If the derivative of (ax-5)e^(3x) at x=0 is -13, then the value of a i...
Text Solution
|
x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)) " then " (dy)/(dx) is
Text Solution
|
If x=asintheta " and " y=bcostheta, " then " (d^(2)y)/(dx^(2)) is
Text Solution
|
The differential coefficient of log(10)x with respect to log(x)10 is
Text Solution
|
If f(x)=x+2, " then " f'(f(x)) at x=4 is
Text Solution
|
If y=(1-x)^(2)/x^(2), " then " (dy)/(dx)= is
Text Solution
|
If pv = 81, then (dp)/(dv) at v=9 is
Text Solution
|
If f(x) = {(x - 5, if xle1),(4x^(2) - 9, if (1ltxlt2),(3x +4, if xg...
Text Solution
|
It is given that f'(a) exists,then lim(xrarra)(xf(a) - af(x))/(x - a) ...
Text Solution
|
Assertion (A) : f(x)={{:(x+1",", x lt 2), (2x-1",", x ge 2):} then f'(...
Text Solution
|
If g(x) = (x^(2)+2x+3), f(x) and f(0)=5 and lim(xrarr0)(f(x)-5)/x = 4 ...
Text Solution
|
If f(x)={{:(x+2, -1 lt x lt 3), (5, x=3), (8-x, x gt 3):}, then at x=3...
Text Solution
|
The derivative of f(x)=xabs(x) at x=-3 is
Text Solution
|
If f(x)={{:(2a-x","" for "-altxlta),(3x-2a","" for "xgea):} then ...
Text Solution
|
If f(x)= {(ax^(2)-b, -1<x<1),(1/abs(x), elsewhere)} is differentia...
Text Solution
|
The number of points in R in which the function f(x) = abs(x - 1) + ab...
Text Solution
|