Ncert Solutions Maths class 12th

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

If $f \cdot g$ is continuous at $x = a$ , then $f$ and $g$ are separately continuous at x=a.

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Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a True or False Type questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l} F a l s e . \\ L e t u s t a k e a n e x a m p l e : f (x) = s i n x a n d g (x) = c o t x \\ ∴ f (x) . g (x) = s i n x . c o t x = s i n x . \frac{c o s x}{s i n x} = c o s x w h i c h i s c o n t i n u o u s a t x = 0 b u t c o t x i s n o t \\ c o n t i n u o u s a t x = 0 . \end{array}$

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

Trigonometric and inverse-trigonometric functions are differentiable in their respective domains.

4 Views|Posted a year ago

Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a True or False Type questions as classified in NCERT Exemplar

Sol: $T r u e .$

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

The composition of two continuous functions is a continuous function.

9 Views|Posted a year ago

Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a True or False Type questions as classified in NCERT Exemplar

Sol: $T r u e . W e k n o w t h a t t h e s u m a n d d i f f e r e n c e o f t w o o r m o r e f u n c t i o n s i s a l w a y s c o n t i n u o u s .$

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

If $f$ is continuous on its domain $D$ , then $? f ?$ is also continuous on $D$ .

4 Views|Posted a year ago

Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a True or False Type questions as classified in NCERT Exemplar

Sol: $T r u e . W e k n o w t h a t t h e f u n c t i o n i s c o n t i n u o u s f u n c t i o n o n i t s d o m a i n .$

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

State True or False for the statements in each of the Exercises 102 to 106:

Rolleâ€™s theorem is applicable for the function $f (x) = ∣ x - 1 ∣$ in $[0, 2]$ .

8 Views|Posted a year ago

Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a True or False Type questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l} F a l s e . G i v e n t h a t f (x) = | x - 1 | i n [0, 2] \\ W e k n o w t h a t t h e f u n c t i o n i s n o t d i f f e r e n t i a b l e . S o . i t i s f a l s e . \end{array}$

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

Kindly consider the following

4 Views|Posted a year ago

Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a Fill in the Blanks Type questions as classified in NCERT Exemplar

Sol:

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

If $f (x) = ? c o s x - s i n x ?$ , then $f^{'} (\frac{π}{3}) =$ __________.

12 Views|Posted a year ago

Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a Fill in the Blanks Type questions as classified in NCERT Exemplar

Sol:

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

If $f (x) = ∣ c o s x ∣$ , then $f^{'} (\frac{π}{4}) =$ __________.

11 Views|Posted a year ago

Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a Fill in the Blanks Type questions as classified in NCERT Exemplar

Sol:

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

Derivative of $x^{2}$ w.r.t. $x^{3}$ is __________.

4 Views|Posted a year ago

Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a Fill in the Blanks Type questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l} G i v e n t h a t y = x^{2} a n d t = x^{3} \\ D i f f e r e n t i a t i n g b o t h f u n c t i o n s w . r . t . x \\ \Rightarrow \frac{d y}{d x} = 2 x a n d \frac{d t}{d x} = 3 x^{2} \\ ∴ \frac{d y}{d t} = \frac{d y / d x}{d t / d x} = \frac{2 x}{3 x^{2}} = \frac{2}{3 x} \\ S o, t h e d e r i v a t i v e o f x^{2} w . r . t . x^{3} i s \frac{2}{3 x} \end{array}$

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New answer posted•a year ago

Ncert Solutions Maths class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Five

An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is __________.

8 Views|Posted a year ago

Asked by Alok Kumar Singh

Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

This is a Fill in the Blanks Type questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l} | x | = | x + 1 | i s t h e f u n c t i o n w h i c h i s c o n t i n u o u s e v e r y w h e r e b u t f a i l s t o b e d i f f e r e n t i a b l e \\ a t x = 0 a n d x = 1 . \end{array}$

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Ncert Solutions Maths class 12th

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State True or False for the statements in each of the Exercises 102 to 106: