Quotient Rule

Presentation

•

Mathematics

•

10th Grade

•

Hard

James Gonzalez

FREE Resource

6 Slides • 14 Questions

Product and Quotient Rule

Multiple Choice

Find the derivative of f(x) = 6x³⁰-2x¹⁵ + 4x³ - 2x + 1. #3

f'(x) = 18x²⁹+ 30x¹⁵ + 12x³

f'(x) = 180x²⁹ - 30x¹⁴+ 12x²

f'(x) = 180x²⁹ - 30x¹⁴+ 12x² - 2

f'(x) = 180x²⁹ - 30x¹⁴+ 12x² +1

Multiple Choice

What is the derivative of xⁿ? #5

(n-1)xⁿ

nxⁿ⁺¹

(n+1)x^n-1

nx^n-1

Multiple Choice

Find the derivative of the given equation
f(x) = x³ + x² + 3. #1

3x² + 2x

3x + 2x

3x + 2x + 3

x³ + x²

Multiple Choice

Find the slope of f(x) = -3x²-6x at x = 1. #2

m = 0

f'(x) = -6x - 6

f'(x) = 6x

m = -12

Multiple Choice

The derivative of the given function is...#4

y'=2x-x^-2

y'=x^-1+8x

y'=x^-2+8x

y=8x-x^-2

Multiple Choice

Find the derivative of the given equation
f(x) = 7. #6

Multiple Choice

Find the derivative of the given equation

f(x)=12-8x. #7

-8x

-8s

-8

12 - 8

Multiple Choice

Use the product rule to determine the derivative. #8

4x⁸+60x⁶+12x³

12x⁷+36x²

32x⁷+36x²

20x⁶

Multiple Choice

Find the derivative of y = 2x² (3x - 4)

6x³ - 8x²

18x² - 16x

15x²- 6x

6x - 4

Multiple Choice

Derivative means the same thing as...#10

slope of the tangent line

slope of the normal line

exponent

slope of the secant line

Multiple Choice

What is the derivative? #11

-20x⁶ + 10x

-70x⁶ + 30x⁴ + 10x

5x² + 10x - 3

-10x⁷ - 94x⁵ + 5x² - 3

Multiple Choice

Which one is the product rule? #12

f(x)g(x)

f'(x)g(x)-f(x)g'(x)

f'(x)g(x)+f(x)g'(x)

f'(x)g'(x)+f'(x)g'(x)

Multiple Choice

What is the derivative of the function? #13

8x⁴ -60x²

16x⁴

(8x⁴ -60x²)/(2x²-5)²

Multiple Choice

Find the derivative. #14
y = x²/ (3x-1)

y' = 9x²- 12
y' = (3x-1) / (3x-1)²

y' = (3x² - 2x) / (3x-1)²

y' = (6x+1)²/ 3

Product and Quotient Rule

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