Calculus I Quiz 1

Module 1: Getting Started

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Calculus: Solving and Graphing Polynomials

QUIZ TYPE 1: Forminator

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Calculus: Solving and Graphing Polynomials

3 questions

One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?

One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7).

7, 4, 3 8, 4, 2 7, 3, 2 8, 4, 3

What are the zeros of f(x) = (x − 5)(x − 4)(x − 2)?

f(x) = (x − 5)(x − 4)(x − 2)

5, 4, 2 4, 4, 3 4, 3, 2 5, 3, 3

Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1

f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1

7 6 5 4

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Standard Deviation and Variance

Quiz type 2: QSM

Testing out the QSM quiz plugin with some math problems dealing with Standard Deviation and Variance. Click here for a video refresher on using Calculus to find Standard Deviation and Variance.

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Calculus Rules: Derivatives

Quiz type 3: HD Quiz

testing out the HD Quiz plugin (coming soon)

Results

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#1. What is the Product Rule?

f'(x)g(x)+f(x)g'(x)

f'(x)g(x)+f(x)g'(x)

f'(x)g(x)-f(x)g'(x)

f'(x)g(x)-f(x)g'(x)

f(x)g'(x)+f'(x)g(x)

f(x)g'(x)+f'(x)g(x)

f'(x)g(x)*f(x)g'(x)

f'(x)g(x)*f(x)g'(x)

f(x)g'(x)-f'(x)g(x)

f(x)g'(x)-f'(x)g(x)

#2. What is the Quotient Rule?

f'(x) g(x) - g'(x) f'(x) / (g(x))^2

f'(x) g(x) - g'(x) f'(x) / (g(x))^2

g'(x) f'(x) / (g(x))^2 - f'(x) g(x) - g'(x)

g'(x) f'(x) / (g(x))^2 - f'(x) g(x) - g'(x)

f'(x) / (g(x))^2 +f'(x) g(x)

f'(x) / (g(x))^2 +f'(x) g(x)

f'(x) g(x) + g'(x) f'(x) * (g(x))^2

f'(x) g(x) + g'(x) f'(x) * (g(x))^2

f'(x) g(x) / g'(x) f'(x) - (g(x))^2

f'(x) g(x) / g'(x) f'(x) - (g(x))^2

f'(x) g(x) * g'(x) f'(x) - (g(x))^2

f'(x) g(x) * g'(x) f'(x) - (g(x))^2

#3. What is the Power Rule?

nx^n-1

nx^n-1

n-1^n-1

n-1^n-1

nx^nx

nx^nx

nx^n-1 / nx^n-1

nx^n-1 / nx^n-1

n-1^nx * n-1

n-1^nx * n-1

nx^n+1

nx^n+1

#4. What is the Chain Rule?

f'(x) = n (g(x)^n-1 x g'(x)

f'(x) = n (g(x)^n-1 x g'(x)

f'(x) = g (n(x)^n-1 x g'(x)

f'(x) = g (n(x)^n-1 x g'(x)

f'(x) = n (g(x)^n-1 x n'(x)

f'(x) = n (g(x)^n-1 x n'(x)

f'(x) = n (g(n)^n-1 x n'(x)

f'(x) = n (g(n)^n-1 x n'(x)

f'(x) = n (x(n)^n-1 x g'(x)

f'(x) = n (x(n)^n-1 x g'(x)

f'(x) = n (g(x)^n-1 x x'(g)

f'(x) = n (g(x)^n-1 x x'(g)

#5. What is cos (g(x)) ?

-g'(x) sin g(x)

-g'(x) sin g(x)

-g'(x) sec^2 (g(x))

-g'(x) sec^2 (g(x))

g'(x) csc g(x) cot g(x)

g'(x) csc g(x) cot g(x)

g'(x) sin -g(x)

g'(x) sin -g(x)

-g'(x) cot g(x)

-g'(x) cot g(x)

g'(x) csc^2 g(x)

g'(x) csc^2 g(x)

#6. What is tan g(x) ?

g'(x) sec^2 (g(x))

g'(x) sec^2 (g(x))

-g'(x) csc^2 g(x)

-g'(x) csc^2 g(x)

g'(x) cos (g(x))

g'(x) cos (g(x))

g'(x) sin (g(x))

g'(x) sin (g(x))

g'(x) sec g(x) + tan g(x)

g'(x) sec g(x) + tan g(x)

g'(x) sin^2 (g(x))

g'(x) sin^2 (g(x))

#7. What is cot g(x) ?

-g'(x) csc^2 g(x)

-g'(x) csc^2 g(x)

g'(x) cos^2 -g(x)

g'(x) cos^2 -g(x)

g'(x) csc^2 -g'(x)

g'(x) csc^2 -g'(x)

-g'(x) sin g(x)

-g'(x) sin g(x)

-g'(x) sec^2 g(x)

-g'(x) sec^2 g(x)

g'(x) csc -g(x)

g'(x) csc -g(x)

#8. What is sec g(x) ?

g'(x) sec g(x) + tan g(x)

g'(x) sec g(x) + tan g(x)

g(x) + tan g(x) + g'(x)

g(x) + tan g(x) + g'(x)

g'(x) sec g(x)

g'(x) sec g(x)

g(x) + tan g(x)

g(x) + tan g(x)

g'(x) sin g(x)

g'(x) sin g(x)

-g(x) + sec^2 g(x)

-g(x) + sec^2 g(x)

#9. What is csc g(x) ?

g'(x) csc g(x) cot g(x)

g'(x) csc g(x) cot g(x)

g'(x) sec g(x) + tan g(x)

g'(x) sec g(x) + tan g(x)

-g'(x) sin g(x)

-g'(x) sin g(x)

g'(x) cot -g(x)

g'(x) cot -g(x)

g'(x) sec g(x)

g'(x) sec g(x)

g'(x) csc -g(x)

g'(x) csc -g(x)

Finish