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IBMS Unit 4 Day 2 Practice

Authored by Stephanie BroughtonHS

11th - 12th Grade

Used 2+ times

IBMS Unit 4 Day 2 Practice
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the derivative function at  f(x)=4x45x3f\left(x\right)=4x^4-5x-3  .

 f(x)=16x35f'\left(x\right)=16x^3-5  

 f(x)=16x35xf'\left(x\right)=16x^3-5x  

 f(x)=16x36f'\left(x\right)=16x^3-6  

 f(x)=8x46f'\left(x\right)=8x^4-6  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Differentiate the function: y=4x5y=-4x^{-5}  

 dydx=20x4\frac{\text{d}y}{\text{d}x}=20x^{-4}  

 dydx=9x5\frac{\text{d}y}{\text{d}x}=-9x^{-5}  

 dydx=20x6\frac{\text{d}y}{\text{d}x}=20x^{-6}  

 dydx=20x4\frac{\text{d}y}{\text{d}x}=-20x^{-4}  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is not the same as the term "derivative function"?

Slope of the tangent line

Gradient to the curve

Gradient function

Instantaneous rate of change

Average rate of change

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 Find the gradient function of the curve: f(x)=3x3f\left(x\right)=\frac{3}{x^3} 

 f(x)=9x4f'\left(x\right)=-9x^{-4}  

 f(x)=3x3f'\left(x\right)=3x^{-3}  

 f(x)=9x2f'\left(x\right)=9x^2  

 f(x)=9x2f'\left(x\right)=-9x^{-2}  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean when you get a positive number as your derivative at a specific point?

The y-value is positive at that point.

The function is increasing at that point.

The function is decreasing at that point.

The function is neither increasing or decreasing at that point.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At the function f\left(x\right)=x^2  , the curve's derivative function is  f(x)=2xf'\left(x\right)=2x  . 

 At x = 4, the derivative is 8  (ie  f(4)=8f'\left(4\right)=8  ).  

At x = 5, the derivative is 10  (ie  f(5)=10f'\left(5\right)=10   ).  


Which of the following is true?

The f(x) value is lower at x = 5.

The curve is increasing at the same rate at x=4  and x=5.

The curve is increasing at a faster rate at x = 5.

The curve is increasing at a faster rate at x = 4.

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the function y=5x18y=5x^{18}  , find  dydx\frac{\text{d}y}{\text{d}x}  when x = 1.

5

23

1,530

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