11.1 Derivative Rules - Quick in class check for understanding

11.1 Derivative Rules - Quick in class check for understanding

University

7 Qs

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11.1 Derivative Rules - Quick in class check for understanding

11.1 Derivative Rules - Quick in class check for understanding

Assessment

Quiz

Mathematics

University

Medium

Created by

Linda Rau

Used 8+ times

FREE Resource

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 f(x)=x2+x4f\left(x\right)=x^2+x^4  

Calculate the derivative of the function.

 f(x)=x3+x5f'\left(x\right)=x^3+x^5  

 f(x)=x24x3f'\left(x\right)=x^2-4x^3  

 f(x)=6x5f'\left(x\right)=6x^5  

 f(x)=2x+4x3f'\left(x\right)=2x+4x^3  

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 g(x)=7x3g\left(x\right)=7x^3  

Calculate the derivative of the function.

 g(x)=21x2g'\left(x\right)=21x^2  

 g(x)=7x4g'\left(x\right)=7x^4  

 g(x)=4x2g'\left(x\right)=4x^2  

 g(x)=73x2g'\left(x\right)=73x^2  

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Calculate the derivative of the function.


 g(x)=12xg\left(x\right)=12x  

 ddx=12x2\frac{d}{dx}=12x^2  

 ddx=0\frac{d}{dx}=0  

 ddx=12\frac{d}{dx}=12  

 ddx=1\frac{d}{dx}=1  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 h(x)=15h\left(x\right)=15  

Calculate the derivative of the function.

 h(x)=225h'\left(x\right)=225  

 h(x)=1h'\left(x\right)=1  

 h(x)=15xh'\left(x\right)=15x  

 h(x)=0h'\left(x\right)=0  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Suppose that a company's revenue, R, and cost, C, are changing with time. Then so is the profit, P(t) = R(t) - C(t).


The rate of change of the profit is

P (t)=R (t)+C (t)P\ '\left(t\right)=R\ '\left(t\right)+C\ '\left(t\right)

P (t)=R(t)C(t)P\ '\left(t\right)=R\left(t\right)-C\left(t\right)

P (t)=R (t)C (t)P\ '\left(t\right)=R\ '\left(t\right)-C\ '\left(t\right)

C (t)=P (t)+R (t)C\ '\left(t\right)=P\ '\left(t\right)+R\ '\left(t\right)

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Calculate the Derivative of the function.


 f(x)=3x2+2x4f\left(x\right)=3x^2+2x-4  

 f(x)=6x+2f'\left(x\right)=6x+2  

 f(x)=6x+24f'\left(x\right)=6x+2-4  

 f(x)=6x2f'\left(x\right)=6x-2  

 f(x)=3x+2f'\left(x\right)=3x+2  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 g(x)=xg\left(x\right)=\sqrt{x}  

Calculate the derivative of the function.

 g(x)=12x12g'\left(x\right)=\frac{1}{2}x^{\frac{1}{2}}  

 g(x)=12x12g'\left(x\right)=\frac{1}{2}x^{-\frac{1}{2}}  

 g(x)=2x12g'\left(x\right)=2x^{\frac{1}{2}}  

 g(x)=2x12g'\left(x\right)=2x^{-\frac{1}{2}}