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Quotient Rule Practice - Grade 10 Calculus

Practice applying the quotient rule for differentiation with various functions, including polynomial, rational, and trigonometric examples.

Grade 10 Math CalculusQuotient Rule
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.IF.C.7

Topics

calculusquotient ruledifferentiationgrade 10 math
7 sections · Free to use · Printable
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Quotient Rule Practice

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Apply the quotient rule to find the derivative of each function. Simplify your answers where possible.

1. Find the derivative of the function f(x) = (3x - 2) / (x^2 + 1).

2. Differentiate g(x) = (e^x) / (sin x).

For the function h(x) = (x^3 + 5) / (cos x), let u =   and v =  . Then u' =   and v' =  .

4. Which of the following is the correct application of the quotient rule for y = u/v?

a

y' = (u'v + uv') / v^2

b

y' = (u'v - uv') / v^2

c

y' = (uv' - u'v) / v^2

d

y' = (u'v - uv') / u^2

5. The quotient rule is always necessary when differentiating a fraction.

T

True

F

False

6. Find the derivative of f(x) = (x^2 - 4) / (x^2 + 4) and simplify your answer.