Home
Class 12
MATHS
If f(x) = {{:(-x, " when "x lt 0),(x^(2)...

If `f(x) = {{:(-x, " when "x lt 0),(x^(2), " when "0 le x le 1),(x^(3) -x+1, " when " x gt 1):}` then f is differentiable at

A

x=1

B

x=0

C

x=0,1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise DERIVATIVE OF COMPOSITE FUNCTIONS|22 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise DERIVATIVE OF INVERSE FUNCTIONS|27 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {(1+x^(2),",", "when"0 le x lt 1),(1-x,",","when"x gt 1):} , then

If f(x) = {(x^(2), ",","when" x le 1),(x+5,",","when" x = 1):} , then

If a function f(x) is defined as f(x) = {{:(-x",",x lt 0),(x^(2)",",0 le x le 1),(x^(2)-x + 1",",x gt 1):} then

If f(x)={:{(x^2", "x le 1),( x^2-x+1"," x gt1):} then show that f(x) is not differentiable at x=1 .

If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", if " 0 lt x le 1 ),(= 4x^(2)-3x", if " 1 lt x le 2 ):} then f is

Draw the graph of the function f(x)={{:(x^(2)",", " when ", xlt0),(x",", " when " , 0le x le1),(1//x",", " when " , 1 le x lt oo.):}

f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):}

The function f(x) = {(1 + x", when " x le 2),(5 -x ", when " x gt 2):} is

If f (x)= {{:(1+x, 0 le x le 2),( 3x-2, 2 lt x le 3):}, then f (f(x)) is not differentiable at:

If f(x)={(-x^2",",when xle0),(5x-4",","when "0 lt x le 1),(4x^2-3x",","when "1 lt x lt 2),(3x+4",",when xge2):} ,then