Set up the derivative of y=(3x 4 - 7)(5x 2 + 1)

y' = (3x 4 - 7)(10x) + (12x 3 )(5x 2 + 1)

y' = (3x 4 - 7)(10x) - (12x 3 )(5x 2 + 1)

y' = (3x 4 - 7)/(10x) + (12x 3 )/(5x 2 + 1)

Derivative Rules Quiz

Authored by Allyssa Amaya

Mathematics

12th Grade

CCSS covered

Used 120+ times

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the derivative of $y=\left(3x^{ }-7\right)\left(5x^2+1\right)?$

$y'=30x$

$y'=45x^2-70x+3$

$y'=-15x^2+70x+3$

$y'=45x^2-67x-4$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the derivative of a constant, C?

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the derivative of xⁿ?

(n-1)xⁿ

nxⁿ⁺¹

(n-1)x^n-1

nx^n-1

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

3x² + 2x

3x + 2x

3x + 2x + 3

x³ + x²

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Set up the derivative of
y=(3x⁴- 7)(5x²+ 1)

y' = (12x³)(10x)

y' = (3x⁴ - 7)(10x) + (12x³)(5x² + 1)

y' = (3x⁴ - 7)(10x) - (12x³)(5x² + 1)

y' = (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use the quotient rule to determine the derivative.

8x⁴ -60x²

16x⁴/(2x²-5)²

(8x⁴ -60x²)/(2x²-5)²

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use the product rule to find the derivative. $f\left(x\right)\ =\ -x^3\left(3x^4-2\right)$

$-3x^2+12x^3$

$-21x^3+6x$

$-21x^6+6x^2$

$-84x^6-6x^2$

Tags

CCSS.HSA.APR.A.1

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Derivative Rules Quiz

What is the derivative of y=(3x−7)(5x2+1)?y=\left(3x^{ }-7\right)\left(5x^2+1\right)?y=(3x−7)(5x2+1)?

What is the derivative of a constant, C?

What is the derivative of xn?

Find the derivative of the given equationf(x) = x3 + x2 + 3

Set up the derivative ofy=(3x4 - 7)(5x2 + 1)

Use the quotient rule to determine the derivative.

Use the product rule to find the derivative. f(x) = −x3(3x4−2)f\left(x\right)\ =\ -x^3\left(3x^4-2\right)f(x) = −x3(3x4−2)

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Similar Resources on Wayground

Popular Resources on Wayground

What is the derivative of $y=\left(3x^{ }-7\right)\left(5x^2+1\right)?$

What is the derivative of xⁿ?

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

Set up the derivative of
y=(3x⁴- 7)(5x²+ 1)

Use the product rule to find the derivative. $f\left(x\right)\ =\ -x^3\left(3x^4-2\right)$