Calculus Quiz

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Test your calculus basics.

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Yaj Kotak

United States

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Calculus Quiz


Froggy Jumps Calculus QuizVersion en ligne Test your calculus basics. par Yaj Kotak 1 A definite integral evaluated using a graph represents: a The slope of the graph b The net signed area between the graph and the x-axis c The maximum value of the function 2 A critical value of a function occurs where: a The second derivative is zero b The derivative is zero or undefined c The function equals zero 3 Which information is needed to find local maxima and minima using derivatives? a The function only b Critical values and sign changes of the derivative c The y-intercept 4 Which rule is used to differentiate a composition of functions? a Chain rule b Quotient rule c Product rule 5 If f(x) = (3x^2 + 1)(x − 4), which differentiation rule is required? a Power rule b Product rule c Chain rule 6 The product rule is best summarized as: a Divide the derivatives b Differentiate the first, keep the second, plus keep the first, differentiate the second c Multiply the derivatives of both functions 7 A Riemann sum with delta x represents: a An approximation of area b The exact area under a curve c A limit of a sequence 8 In a summation sigma notation, what does the index represent? a The starting point b The counter that changes each term c The width of rectangles 9 When finding the kth term in a summation, what does k represent? a The width of each subinterval b A specific rectangle or term number c The total number of terms 10 Which situation would most likely require the chain rule? a f(x) = sqrt(2x + 1) b f(x) = 5x − 2 c f(x) = x^3

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Calculus Quiz

Froggy Jumps

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Calculus QuizVersion en ligne

par Yaj Kotak

A definite integral evaluated using a graph represents:

A critical value of a function occurs where:

Which information is needed to find local maxima and minima using derivatives?

Which rule is used to differentiate a composition of functions?

If f(x) = (3x^2 + 1)(x − 4), which differentiation rule is required?

The product rule is best summarized as:

A Riemann sum with delta x represents:

In a summation sigma notation, what does the index represent?

When finding the kth term in a summation, what does k represent?

Which situation would most likely require the chain rule?