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Calculus for the homies

Authored by Leah Samuel

Mathematics

11th - 12th Grade

Used 20+ times

Calculus for the homies
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which theorem states that for a line, g(x), that lies between f(x) and h(x), has a point equal to the point where f(x) and h(x) touch?

Mean Value Theorem

Fundamental Thorem of Calculus

Squeeze Theorem

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the limit of the following function when x goes to infinity? f(x)=(3x216x+2)(4x2+10)f\left(x\right)=\frac{\left(3x^2-16x+2\right)}{\left(4x^2+10\right)}  

3/4

Infinity

Negative infinity

4/3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the integral of the following function? f(x)=9x2+16x5f'\left(x\right)=9x^2+16x-5  

 18x+1618x+16  

 3x3+8x25x+c3x^3+8x^2-5x+c  

53

sinx

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the second derivative of the following function? f(x)=9x2+16x5f'\left(x\right)=9x^2+16x-5  

 18x+1618x+16  

 3x3+8x25x+c3x^3+8x^2-5x+c  

18

huh?????

5.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

What does a second derivative sign test tell us?

The original function's concavity

The first derivative's concavity

Inflection points

Y-Intercepts

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the derivative of tan(5x)?

sec^2(5x)

5sec^2(5x)

sec(5x)tan(5x)

5sec(5x)tan(5x)

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which rule states that the derivative of f(g(x)) equals f'(g(x))*g'(x)?

Quotient

Product

Reciprocal

Chain

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