MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Many-One into Function

Can the deriv...

Question

Can the derivative of a function be Infinite (geometrically) at some point

Open in App

Solution

Suggest Corrections

thumbs-up

0

Similar questions

Q. Consider the following statements:

1.

f (x)

may not exist at some point.

2.

f (x)

may exist finitely at some point.

3.

f (x)

may be infinite (geometrically) at some point.
Which of the above statements are correct?

Q. If a function is continuous at a point its first derivative

Left hand derivative and right hand derivative of a function

f (x)

x = a

f^{'} (a^{-}) = lim h \to 0^{+} \frac{f (a) - f (a - h)}{h} = lim h \to 0^{-} \frac{f (a) - f (a - h)}{h} = lim x \to a^{+} \frac{f (a) - f (x)}{a - x}

f

be a twice differentiable function. We also know that derivative of an even function is odd function and derivative of an odd function is even function.

f

is odd, which of the following is Left-hand derivative of

f

x = a

Left hand derivative and right hand derivative of a function

f (x)

x = a

f^{'} (a^{-}) = lim h \to 0^{+} \frac{f (a) - f (a - h)}{h} = lim h \to 0^{-} \frac{f (a) - f (a - h)}{h} = lim x \to a^{+} \frac{f (a) - f (x)}{a - x}

f

be a twice differentiable function. We also know that derivative of an even function is odd function and derivative of an odd function is even function.

f

is even, which of the following is Right hand derivative of

f^{'}

x = a

In the above figure first derivative (f’(x)) of the function y = f(x) at point P will be equal to

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Many-One into Function

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon