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Differentiation Practice: Power Rule and Linear Functions

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

y = 4x + 1 функций уламжлалыг ол.

a)

y' = 0

b)

y' = 4

c)

y' = x + 1

d)

y' = 4x

2.

y = 5x функций уламжлалыг сонго.

a)

y′=x4y' = x^4

b)

y' = 5x

c)

y' = 5

d)

y' = 1/5

3.

y = 3x23x^2 функций уламжлал аль нь вэ?

a)

y' = 6x

b)

y' = 3x

c)

y′=2x3y' = 2x^3

d)

y′=6x2y' = 6x^2

4.

y = x^3 функций уламжлалыг ол.

a)

y′=3x3y' = 3x^3

b)

y′=2x3y' = 2x^3

c)

y′=x2y' = x^2

d)

y′=3x2y' = 3x^2

5.

y = 2x32x^3 функций уламжлалыг тодорхойл.

a)

y′=6x2y' = 6x^2

b)

y′=2x2y' = 2x^2

c)

y′=3x2y' = 3x^2

d)

y′=6x3y' = 6x^3

6.

y = x1/2x^{1/2} функций уламжлалыг сонго.

a)

y' = 12x\frac{1}{2\sqrt{x}}

b)

y' = x/2\sqrt{x}/2

c)

y′=1/xy' = 1/\sqrt{x}

d)

y′=2xy' = 2\sqrt{x}

7.

y = x3/2x^{3/2} функций уламжлал аль нь вэ?

a)

y′=32x52y' = \frac{3}{2} x^{\frac{5}{2}}

b)

y' = (3/2) x1/2(3/2)\,x^{1/2}

c)

y' = (1/2) x3/2(1/2)\,x^{3/2}

d)

y′=3 x1/2y' = 3\,x^{1/2}

8.

y = x−2x^{-2} функций уламжлалыг ол.

a)

y′=−2x−1y' = -2x^{-1}

b)

y′=2x−3y' = 2x^{-3}

c)

y′=x−2y' = x^{-2}

d)

y′=−2x−3y' = -2x^{-3}

9.

y = 12x2\frac{1}{2}x^2 + 1 функций уламжлалыг тодорхойл.

a)

y' = x

b)

y' = x + 1

c)

y' = 1

d)

y' = 2x

10.

y = x−1/2x^{-1/2} функций уламжлал ямар вэ?

a)

y′=−x−3/2y' = -x^{-3/2}

b)

y′=−(1/2)x−3/2y' = -(1/2)x^{-3/2}

c)

y′=(1/2)x−1/2y' = (1/2)x^{-1/2}

d)

y′=−(1/2)x−1/2y' = -(1/2)x^{-1/2}