Calculus Quiz

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Test your calculus basics.

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Yaj Kotak

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Froggy Jumps Calculus QuizVersión en línea Test your calculus basics. por 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

Froggy Jumps

Calculus QuizVersión en línea

Test your calculus basics.

por Yaj Kotak

A definite integral evaluated using a graph represents:

The slope of the graph

The net signed area between the graph and the x-axis

The maximum value of the function

A critical value of a function occurs where:

The second derivative is zero

The derivative is zero or undefined

The function equals zero

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

The function only

Critical values and sign changes of the derivative

The y-intercept

Which rule is used to differentiate a composition of functions?

Chain rule

Quotient rule

Product rule

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

Power rule

Product rule

Chain rule

The product rule is best summarized as:

Divide the derivatives

Differentiate the first, keep the second, plus keep the first, differentiate the second

Multiply the derivatives of both functions

A Riemann sum with delta x represents:

An approximation of area

The exact area under a curve

A limit of a sequence

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

The starting point

The counter that changes each term

The width of rectangles

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

The width of each subinterval

A specific rectangle or term number

The total number of terms

Which situation would most likely require the chain rule?

f(x) = sqrt(2x + 1)

f(x) = 5x − 2

f(x) = x^3

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Calculus Quiz

Froggy Jumps

Sobre esta actividad

Creada por

Descarga la versión para jugar en papel

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Froggy Jumps

Calculus QuizVersión en línea

por 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?

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