exam ni sir leo sa caiy9tui76sw6y6lculus_3rdq

8/7/2019 EXAM NI SIR LEO SA caiy9tui76sw6y6lculus_3rdQ

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Prepared by: Mr. Freddie Leo D. Rivera

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Second PHILIPPINE INTERNATIONAL SCHOOL

Riyadh, Kingdom of Saudi Arabia

HIGH SCHOOL DEPARTMENT

I MULTIPLE CHOICE Choose the letter of the best answer in each item. Write your

answers in BOLD in the space provided before the number. (1 point each)

_______1.A line is tangent to a circle if it intersects the circle at __________.a. exactly one point c. no point at allb. two points d. all points

_______2.The derivative of a function f at the point x, denoted by f(x), is defined as the__________ of the tangent line to the graph of f at x.

a. sum c. slopeb. difference d. limit

_______3.The process of finding the derivative of a function us called __________.a.

summation c. differentiationb. integration d. all of the above

_______4.Who introduced the prime symbols f(x) and f?a. Joseph Jacquard c. Archimedesb. Albert Einstein d. Joseph Louis Lagrange

_______5.In Theorem 6.2 Power Rule, the derivative of the nth power of x is the__________ of the exponent n and the variable x raised to the power of n 1.

a. sum c. quotientb. difference d. product

_______6.The radical expression is equivalent to an expression with __________.a. fractional exponent c. zero exponentb. negative exponent d. rational exponent

_______7.It states that the derivative of a constant c multiplied by a function f(x) is theproduct of the constant and the derivative of the function?

a. Constant Rule c. Power Ruleb. Constant Multiple Rule d. Sum Rule

NAME: _________________________________________ Date: _______________

Yr. / Section: _________________________________________ P.S.: _______________


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_______8. The derivative of the __________ of two factors is the first factor times thederivative of thesecond factor plus thesecond factor times the derivative of the

first factor.

a. product c. quotientb. sum d. difference

_______9. Which of the following is not a symbol of the derivative of a function y = f(x)?a. y b. f(x) c. dy/dx d. dydx

_______10. The slope of the tangent line to a curve of a function f at a point a is thederivative of the function evaluated at __________.

a. x = y c. x = ab. x = b d. y = x

II IDEN IFICA ION Id ntif wh

tis ask din eachitem. (1point each

_____________________________1. It states that the derivative of a constant functionf(x) = c at any x is zero.

_____________________________2. It states that the derivative of the product of twofactors is the first factor times the derivative of the

second factor plus the second factor times the

derivative of the first factor.

_____________________________3. It is a line that intersects thecurve at two points._____________________________4. It is defined as thesteepness of a line._____________________________5. It states that the derivative of the sum of two

functions is thesum of their derivatives.

III Fillinthe blank withthe co

ect answer. Write itonthe space pro

ided

1. The derivative of the nth power of x is the product of theexponent and thevariable xraised to the power ________________________ _.

2. The radical expression isequivalent to an expression with_____ ____________________exponent.

3. The _________________________ derivative of a function f is the derivative of thederivative of f.

4. The derivative of a quotient is equal to the denominator times the derivative of thenumerator minus the numerator times the derivative of the denominator, all over the_______________________ ___of the denominator.

5. The ________________________ ____ of a function at a given instant x = a is thederivative of the function evaluated at x = a.


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Prepared by

Mr. Freddie Leo D. Rivera

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VI Use the varioustheoremstofindthe derivativesofeachfunctionbelow : (2 pts each)

1. y = 3x-7

2. y =

3. y = 5x - 4

4. y = (x 2)(3x25)

5. y =

6. y=

7. y=

8. y=

9. y=sin 3x

10.y=cos cot


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exam ni sir leo sa caiy9tui76sw6y6lculus_3rdq

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