Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

Detailed answers please
question image
Asked by g_archanasharma | 15 May, 2019, 17:54: PM
answered-by-expert Expert Answer
f left parenthesis x right parenthesis equals x cubed space sgn space x
rightwards double arrow f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x cubed comma space space space space space space x greater than 0 end cell row cell table attributes columnalign left end attributes row cell negative x cubed comma space space x less than 0 end cell row cell 0 comma space space space space space space x equals 0 end cell end table end cell end table close
N o w comma space L H L equals limit as x rightwards arrow 0 to the power of minus of space f left parenthesis x right parenthesis equals limit as x rightwards arrow 0 of space left parenthesis negative x cubed right parenthesis equals 0 equals f left parenthesis 0 right parenthesis
R H L equals limit as x rightwards arrow 0 to the power of plus of space f left parenthesis x right parenthesis equals limit as x rightwards arrow 0 of space x cubed equals 0 equals f left parenthesis 0 right parenthesis
T h e r e f o r e comma space f space i s space c o n t i n u o u s.
f apostrophe left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell 3 x squared comma space space space space space space x greater than 0 end cell row cell table attributes columnalign left end attributes row cell negative 3 x squared comma space space space x less than 0 end cell row cell 0 comma space space space space space space space space space x equals 0 end cell end table end cell end table close
f apostrophe left parenthesis 0 to the power of minus right parenthesis equals 0 equals f apostrophe left parenthesis 0 to the power of plus right parenthesis
H e n c e comma space f space i s space d i f f e r e n t i a b l e space a t space x equals 0.
Answered by Renu Varma | 15 May, 2019, 18:48: PM
JEE main - Maths
Asked by pawandhayal125 | 06 Oct, 2024, 10:03: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by srishtipra2008 | 28 Sep, 2024, 10:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by yogeshsoni575 | 23 Sep, 2024, 23:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by pritamlovevanshi5 | 15 Sep, 2024, 08:24: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by ganeshbabugottapu7 | 12 Sep, 2024, 18:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by ganeshbabugottapu7 | 10 Sep, 2024, 07:32: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by ayushapatill2407 | 09 Aug, 2024, 19:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT