IBMS Unit 4 Day 2 Practice

IBMS Unit 4 Day 2 Practice

Assessment

Assessment

Created by

Stephanie BroughtonHS

11th - 12th Grade

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10 questions

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1.

MULTIPLE CHOICE

2 mins • 1 pt

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

2.

MULTIPLE CHOICE

2 mins • 1 pt

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

3.

MULTIPLE CHOICE

30 sec • 1 pt

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

4.

MULTIPLE CHOICE

2 mins • 1 pt

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

5.

MULTIPLE CHOICE

30 sec • 1 pt

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

6.

MULTIPLE CHOICE

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?

7.

MULTIPLE CHOICE

2 mins • 1 pt

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

8.

MULTIPLE CHOICE

3 mins • 1 pt

Find the gradient of the curve y=2x(63x2)y=2x\left(6-3x^2\right)   at the point (-2, 24 ).

9.

MULTIPLE CHOICE

3 mins • 1 pt

Point P lies on the curve  y=3x2x+4y=3x^2-x+4  .  The gradient of the curve at point P is equal to 29.  Find the x-coordinate of P.

10.

MULTIPLE CHOICE

3 mins • 1 pt

Point T lies on the curve f(x)=4x2+5xf\left(x\right)=4x^2+5x  .  The gradient of the curve at T is equal to -75.  Find the x-coordinate. 

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