Set of all possible values of kfor which fxsinxcosxkxbdecreases for all real values of x is

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 39

The angle which the perpendicular from the origin on the tangent makes with the

x

-axis for the curve whose parametric equation is

x = a \sin^{3} θ, y = a \cos^{3} θ

is

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 40

Number of extreme as of

f (x) = 3 x^{4} - 4 x^{3} + 6 x^{2} + a x + b

, where

a, b \in R

, is

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 41

Equation of normal to the curve

y = x (2 - x)

at the point

(2, 0)

is

EASY

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 42

If the tangent to the function

y = f (x)

at

(3, 4)

makes an angle of

\frac{3 π}{4}

with the positive direction of

x

-axis in anticlockwise direction, then

f^{'} (3)

is

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 43

If function

f (x) = \cos |x| - 2 a x + b

is strictly increasing function on whole number line, then the value of

a

is

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 1>Q 44

The set of values of a such that the equation

2 x^{2} - 2 (2 a + 1)

x + a (a - 1) = 0

has roots

α

and

β

satisfying

a < a < β

is

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 2>Q 1

The two curves

x^{3} - 3 x y^{2} + 2 = 0

and

3 x^{2} y - y^{3} - 2 = 0

MEDIUM

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 10 - Application of Derivatives - I>Exercise 2>Q 2

If the function

f (x) = 2 x^{3} - 9 a x^{2} + 12 a^{2} x + 1

where

a > 0,

attains its maximum and minimum at

p

and

q

respectively such that

p^{2} = q,

then

a

equals

Set of all possible values of $k$ for which $f (x) = \sin x - \cos x - k x + b$ decreases for all real values of $x$ , is

Important Questions on Application of Derivatives - I

Learn and Prepare for any exam you want !

Set of all possible values of k for which f(x)=sinx-cosx-kx+b decreases for all real values of x, is

Important Questions on Application of Derivatives - I

Learn and Prepare for any exam you want !

Set of all possible values of $k$ for which $f (x) = \sin x - \cos x - k x + b$ decreases for all real values of $x$ , is