MyQuestionIcon

1

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

Monotonicity in an Interval

The interval ...

Question

The interval of increase of the function f(x)=x - e^x + tan(2π/7) is

Open in App

Solution

f(x) is increasing if f'(x) >0
f '(x) = 1 - e^x
1-e^x>0
e^x < 1
x <0
(-infinity,0)

Suggest Corrections

thumbs-up

3

Similar questions

Q. The interval of increase of the function f(x) = x − e^x + tan (2π/7) is
(a) (0, ∞)
(b) (−∞, 0)
(c) (1, ∞)
(d) (−∞, 1)

Q. The interval of increase of the function

y = x - e^{x} + tan (π / 7)

f (x) = \frac{x}{2} + \frac{2}{x}

- 7 \leq x \leq 7

f (x)

is monotonic increasing function of

x

in the interval-

Q. Find the intervals of monotonicity for the following function.

f (x) = \frac{e^{x}}{x}

x

- \infty

\infty

f (x) = \frac{e^{x}}{1 + e^{x}}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Monotonicity

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Monotonicity in an Interval

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon