Before differentiating functions involving radicals, what should we do first?

Rewrite the function with rational exponents.

Simplify the terms with radicals.

How can we say that a function F is an antiderivative of f on an interval I?

when F'(x) = f(x) for all x in I

when F(x) = f(x) for all x in I

when f' (x) = F(x) for all x in I

when F'(x) = f'(x) for all x in I

How do we approximate the area of a plane region?

By taking the limit of the summation of all n-rectangles as n approaches infinity.

By taking the derivative of the function.

By multiplying length and width.

Who were credited for creating calculus?

Isaac Newton & Gottfried Wilhelm Leibniz

Niels Henrik Abel & Evariste Galois

Joseph-Louis Lagrange & Michel Rolle

Thomas Simpson & George Friedrich Riemann

What is the Fundamental Theorem of Calculus?

∫[f(x) dx] = F(b) - F(a) (lower limit=a; upper limit=b)

∫[f(x) dx] = f(a - b) (lower limit=a; upper limit=b)

∫[f(x) dx] = F(a - b) (lower limit=a; upper limit=b)

∫[f(x) dx] = F(a) - F(b) (lower limit=a; upper limit=b)

Create a definite integral for y = x 2 - 6x having a lower limit of 2 and upper limit of 4.

∫(x 2 - 6x) dx (lower limit=2; upper limit=4)

∫(x 2 - 6x) dx (lower limit=4; upper limit=2)

∫(x 2 - 6x) + C (lower limit=4; upper limit=2)

∫(x 2 - 6x) (lower limit=2; upper limit=4)

Mrs. Ballard's Praxis/ACT Math Review

12th Grade - Professional Development

•

45 Qs

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Mrs. Ballard's Praxis/ACT Math Review

Quiz

•

Mathematics

•

12th Grade - Professional Development

•

Practice Problem

•

Hard

•

CCSS

HSA.REI.D.10, HSA.APR.A.1, HSF.TF.C.8

+22

Standards-aligned

Emily Ballard

Used 1+ times

FREE Resource

45 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

sinx

-sinx

-cscx cotx

sec²x

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

cscx cotx

secx tanx

sec²x

-cscx cotx

Tags

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

secx tanx

sec²x

cscx cotx

-cscx cotx

Tags

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

secx tanx

-secx tanx

tan²x

cscx cotx

MULTIPLE CHOICE QUESTION

1 min • 1 pt

-cscx cotx

cscx cotx

-csc²x

csc²x

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

-ln |cosx| + C

ln |cosx| + C

ln |sinx| + C

-ln |sinx| + C

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

sin x + C

-sin x + C

ln |sinx| + C

-ln |sinx| + C

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Mrs. Ballard's Praxis/ACT Math Review

45 questions

The derivative of a constant function is ______________.

The derivative of f(x) = 5 is ________.

Find the slope of the tangent line to the graph of the function at the given point.

f(x) = 5 - x² (3,-4)

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Mrs. Ballard's Praxis/ACT Math Review

45 questions

The derivative of a constant function is ______________.

The derivative of f(x) = 5 is ________.

Find the slope of the tangent line to the graph of the function at the given point.f(x) = 5 - x2 (3,-4)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the slope of the tangent line to the graph of the function at the given point.

f(x) = 5 - x² (3,-4)