The correct definition of the Power Rule of derivatives is

Given $$f\left(x\right)=x^n$$ , <katex latex="f'\left(x\right)=x^{n-

Power Rule Derivative Quiz: 18 Questions (11th Grade)

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Power Rule Derivative Quiz

Authored by Marco Orozco

Mathematics

11th Grade

CCSS covered

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18 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Avery is trying to find the rate of change of a function representing the height of a plant over time. The function is given by $f(x) = 3x^4 + 2x^3 - x + 7$ . What is the derivative of this function?

$12x^3 + 6x^2 - 1$

$12x^3 + 6x^2 + 1$

$12x^3 + 6x^2 - 1 + 7$

$12x^3 + 6x^2 - 1 + 0$

MATCH QUESTION

30 sec • 1 pt

Match the following functions with their derivatives.

$k(x) = 5x^5 - 4x^2 + 3x - 8 + 0$

$25x^4 - 8x + 3$

$f(x) = 5x^5 - 4x^2 + 3x - 8$

$25x^4 - 8x + 3 - 0$

$g(x) = 5x^5 - 4x^2 + 3x - 16$

$25x^4 - 8x + 3 - 8$

$h(x) = 5x^5 - 4x^2 + 3x$

$25x^4 - 8x + 3 + 0$

Tags

CCSS.HSA.APR.A.1

DRAG AND DROP QUESTION

30 sec • 1 pt

Benjamin is trying to find the rate of change of a function he is studying in his calculus class. The function is given by $f(x) = 7x^6 - 3x^4 + 2x^2 - 5$ . The derivative of this function is (a)

42x^5 - 12x^3 + 4x

42x^5 - 12x^3 + 4x - 5

42x^5 - 12x^3 + 4x + 0

42x^5 - 12x^3 + 4x - 0

MATCH QUESTION

30 sec • 1 pt

Match the following functions with their derivatives.

$f(x) = 2x^7 + 3x^5 - x^3 + 4$

$14x^6 + 15x^4 - 3x^2 + 0$

$g(x) = 2x^7 + 3x^5 - x^3 + 4 + C$

$14x^6 + 15x^4 - 3x^2 - 0$

$k(x) = 2x^7 + 3x^5 - x^3 + 4 - 0$

$14x^6 + 15x^4 - 3x^2$

$h(x) = 2x^7 + 3x^5 - x^3 + 4 + 0$

$14x^6 + 15x^4 - 3x^2 + 4$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Ava is trying to find the rate of change of a polynomial function she is studying. The function is given by $f(x) = 4x^8 - 5x^6 + 6x^4 - 7$ . Can you help her find the derivative of this function?

$32x^7 - 30x^5 + 24x^3$

$32x^7 - 30x^5 + 24x^3 - 7$

$32x^7 - 30x^5 + 24x^3 + 0$

$32x^7 - 30x^5 + 24x^3 - 0$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the function $f(x) = 6x^9 - 2x^7 + x^5 - 3$ .

$54x^8 - 14x^6 + 5x^4$

$54x^8 - 14x^6 + 5x^4 - 3$

$54x^8 - 14x^6 + 5x^4 + 0$

$54x^8 - 14x^6 + 5x^4 - 0$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the function $f(x) = 8x^{10} - 3x^8 + 2x^6 - 1$ .

$80x^9 - 24x^7 + 12x^5$

$80x^9 - 24x^7 + 12x^5 - 1$

$80x^9 - 24x^7 + 12x^5 + 0$

$80x^9 - 24x^7 + 12x^5 - 0$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Priya is working on a math problem where she needs to find the derivative of the function $f(x) = 9x^{11} - 4x^9 + 3x^7 - 2$ . Can you help her?

$99x^{10} - 36x^8 + 21x^6$

$99x^{10} - 36x^8 + 21x^6 - 2$

$99x^{10} - 36x^8 + 21x^6 + 0$

$99x^{10} - 36x^8 + 21x^6 - 0$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evelyn is working on a project where she needs to find the rate of change of a function representing the growth of a certain plant species. The function is given by $f(x) = 10x^{12} - 5x^{10} + 4x^8 - 3$ . Find the derivative of this function.

$120x^{11} - 50x^9 + 32x^7$

$120x^{11} - 50x^9 + 32x^7 - 3$

$120x^{11} - 50x^9 + 32x^7 + 0$

$120x^{11} - 50x^9 + 32x^7 - 0$

Tags

CCSS.HSA.APR.A.1

10.

DRAG AND DROP QUESTION

30 sec • 1 pt

James is working on a math problem where he needs to find the derivative of the function $f(x) = 11x^{13} - 6x^{11} + 5x^9 - 4$ . The derivative is (a)

143x^{12} - 66x^{10} + 45x^8

143x^{12} - 66x^{10} + 45x^8 - 4

143x^{12} - 66x^{10} + 45x^8 + 0

143x^{12} - 66x^{10} + 45x^8 - 0

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Power Rule Derivative Quiz

Avery is trying to find the rate of change of a function representing the height of a plant over time. The function is given by f(x)=3x4+2x3−x+7f(x) = 3x^4 + 2x^3 - x + 7f(x)=3x4+2x3−x+7 . What is the derivative of this function?

Match the following functions with their derivatives.

Benjamin is trying to find the rate of change of a function he is studying in his calculus class. The function is given by f(x)=7x6−3x4+2x2−5f(x) = 7x^6 - 3x^4 + 2x^2 - 5f(x)=7x6−3x4+2x2−5 . The derivative of this function is (a)

Match the following functions with their derivatives.

Ava is trying to find the rate of change of a polynomial function she is studying. The function is given by f(x)=4x8−5x6+6x4−7f(x) = 4x^8 - 5x^6 + 6x^4 - 7f(x)=4x8−5x6+6x4−7 . Can you help her find the derivative of this function?

Find the derivative of the function f(x)=6x9−2x7+x5−3f(x) = 6x^9 - 2x^7 + x^5 - 3f(x)=6x9−2x7+x5−3 .

Find the derivative of the function f(x)=8x10−3x8+2x6−1f(x) = 8x^{10} - 3x^8 + 2x^6 - 1f(x)=8x10−3x8+2x6−1 .

Priya is working on a math problem where she needs to find the derivative of the function f(x)=9x11−4x9+3x7−2f(x) = 9x^{11} - 4x^9 + 3x^7 - 2f(x)=9x11−4x9+3x7−2 . Can you help her?

Evelyn is working on a project where she needs to find the rate of change of a function representing the growth of a certain plant species. The function is given by f(x)=10x12−5x10+4x8−3f(x) = 10x^{12} - 5x^{10} + 4x^8 - 3f(x)=10x12−5x10+4x8−3 . Find the derivative of this function.

James is working on a math problem where he needs to find the derivative of the function f(x)=11x13−6x11+5x9−4f(x) = 11x^{13} - 6x^{11} + 5x^9 - 4f(x)=11x13−6x11+5x9−4 . The derivative is (a)

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Avery is trying to find the rate of change of a function representing the height of a plant over time. The function is given by $f(x) = 3x^4 + 2x^3 - x + 7$ . What is the derivative of this function?

Benjamin is trying to find the rate of change of a function he is studying in his calculus class. The function is given by $f(x) = 7x^6 - 3x^4 + 2x^2 - 5$ . The derivative of this function is (a)

Ava is trying to find the rate of change of a polynomial function she is studying. The function is given by $f(x) = 4x^8 - 5x^6 + 6x^4 - 7$ . Can you help her find the derivative of this function?

Find the derivative of the function $f(x) = 6x^9 - 2x^7 + x^5 - 3$ .

Find the derivative of the function $f(x) = 8x^{10} - 3x^8 + 2x^6 - 1$ .

Priya is working on a math problem where she needs to find the derivative of the function $f(x) = 9x^{11} - 4x^9 + 3x^7 - 2$ . Can you help her?

Evelyn is working on a project where she needs to find the rate of change of a function representing the growth of a certain plant species. The function is given by $f(x) = 10x^{12} - 5x^{10} + 4x^8 - 3$ . Find the derivative of this function.

James is working on a math problem where he needs to find the derivative of the function $f(x) = 11x^{13} - 6x^{11} + 5x^9 - 4$ . The derivative is (a)