Learn Mathematics Derivatives, NDA Exam Mathematics Derivatives Exercise, Free Online Derivatives Lessons

NDA Exam Mathematics Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Mathematics Derivatives for NDA Exam student. This free online Mathematics study material for NDA Exam will help students in learning and doing practice on Derivatives topic of NDA Exam Mathematics. The study material on Derivatives, help NDA Exam Mathematics students to learn every aspect of Derivatives and prepare themselves for exams by doing online test exercise for Derivatives, as their study progresses in class. Kidsfront provide unique pattern of learning Mathematics with free online comprehensive study material and loads of NDA Exam Mathematics Derivatives exercise prepared by the highly professionals team. Students can understand Derivatives concept easily and consolidate their learning by doing practice test on Derivatives regularly till they excel in Mathematics Derivatives.

Derivatives

If η > 1, it means the demand D is ____________ .

a) Constant function of price
b) Relatively inelastic
c) Exactly proportional to the price
d) Relatively elastic

✔Answer

Correct Answer Is : Relatively elastic

Solution Is :

If η = 1, it means the demand D is ____________ .

a) Constant function of price
b) Relatively inelastic
c) Exactly proportional to the price
d) Relatively elastic

✔Answer

Correct Answer Is : Exactly proportional to the price

Solution Is :

If 0 < η < 1, it means the demand D is ____________ .

a) Constant function of price
b) Relatively inelastic
c) Exactly proportional to the price
d) Relatively elastic

✔Answer

Correct Answer Is : Relatively inelastic

Solution Is :

Find the value of x for which the function f(x) = x³ - 6x² -15x + 1 is increasing.

a) X ∊ (5 , ∞)
b) X ∊ (- ∞, -1)
c) Both 1 and 2
d) None of these

✔Answer

Correct Answer Is : Both 1 and 2

Solution Is :

Find the value of x for which the function f(x) = 8x + (2/x) is decreasing.

a) X ∊ ((-1/2),(1/2)) - {0}
b) X ∊ ((-2),(1/2)) - {0}
c) Both 1 and 2
d) None of these

✔Answer

Correct Answer Is : X ∊ ((-1/2),(1/2)) - {0}

Solution Is :

True or false:The rate of change of the area of a circle with respect to its radius r at r = 6 cm is 8π.

a) TRUE
b) FALSE
c) Maybe
d) None of these

✔Answer

Correct Answer Is : FALSE

Solution Is :

If the function f(x) is increasing at x = c, then _________ .

a) F`( c ) > 0.
b) F`( c ) < 0.
c) F`( c ) = 0.
d) F`( c ) ≠ 0.

✔Answer

Correct Answer Is : F`( c ) > 0.

Solution Is :

If the function f(x) is decreasing at x = c, then _________ .

a) F`( c ) > 0.
b) F`( c ) < 0.
c) F`( c ) = 0.
d) F`( c ) ≠ 0.

✔Answer

Correct Answer Is : F`( c ) < 0.

Solution Is :

Demand function x, for s certain commodity is given as x = 200 - 4p, where p is the unit price. Find elasticity of demand as a function of p.

a) η = p/50
b) η = p/(50 + p)
c) η = p/(50 - p)
d) η = p/(p - 50)

✔Answer

Correct Answer Is : η = p/(50 - p)

Solution Is :

An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

a) 900cm^ 3 / s
b) 800cm^ 3 / s
c) 700cm^ 3 / s
d) 600cm^ 3 / s

✔Answer

Correct Answer Is : 900cm^ 3 / s

Solution Is :

PREVIOUS NEXT

❏Computer Practice +

❏English Practice +

❏General Knowledge Practice +

❏Logical Reasoning Practice +

❏Quantitative Aptitude Practice +

NDA Exam Mathematics Study Material

Derivatives

If η > 1, it means the demand D is ____________ .

Correct Answer Is : Relatively elastic

Solution Is :

If η = 1, it means the demand D is ____________ .

Correct Answer Is : Exactly proportional to the price

Solution Is :

If 0 < η < 1, it means the demand D is ____________ .

Correct Answer Is : Relatively inelastic

Solution Is :

Find the value of x for which the function f(x) = x 3 - 6x 2 -15x + 1 is increasing.

Correct Answer Is : Both 1 and 2

Solution Is :

Find the value of x for which the function f(x) = 8x + (2/x) is decreasing.

Correct Answer Is : X ∊ ((-1/2),(1/2)) - {0}

Solution Is :

True or false:The rate of change of the area of a circle with respect to its radius r at r = 6 cm is 8π.

Correct Answer Is : FALSE

Solution Is :

If the function f(x) is increasing at x = c, then _________ .

Correct Answer Is : F`( c ) > 0.

Solution Is :

If the function f(x) is decreasing at x = c, then _________ .

Correct Answer Is : F`( c ) < 0.

Solution Is :

Demand function x, for s certain commodity is given as x = 200 - 4p, where p is the unit price. Find elasticity of demand as a function of p.

Correct Answer Is : η = p/(50 - p)

Solution Is :

An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

Correct Answer Is : 900cm^ 3 / s

Solution Is :

Kids Learning

Academics

Competitive Exams

Govt. Jobs Exams

Find the value of x for which the function f(x) = x³ - 6x² -15x + 1 is increasing.