Negative Power Derivatives Quiz

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Power rule with negatives

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Cheeny Mae Daep Pingol

Philippines

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Froggy Jumps Negative Power Derivatives QuizOnline version Power rule with negatives by Cheeny Mae Daep Pingol 1 If f(x)=x^(-3), what is f'(x) using the power rule? a f'(x) = 3x^(-2) b f'(x) = -3x^(-4) c f'(x) = -3x^(-3) 2 Rewrite y=1/x^2 as a power function. a y = -x^(-2) b y = x^(-2) c y = x^2 3 Differentiate g(x)=x^(-5) with the power rule: g'(x)=? a g'(x) = 5x^(-4) b g'(x) = -5x^(-5) c g'(x) = -5x^(-6) 4 Which form is NOT a power function? a x^4 b 1/x^3 written as x^(-3) c x^(1/2) 5 State the derivative of h(x)=x^(-1). a h'(x) = x^(-2) b h'(x) = -x^(-2) c h'(x) = -1/x^2 6 Rewrite f(x)=a/x^4 as a power function. a f(x)=a x^(-4) b f(x)=a x^(4) c f(x)=a/x^5 7 Differentiate p(x)=k x^(-7) with k constant. a p'(x)= -7k x^(-8) b p'(x)= 7k x^(-6) c p'(x)= -7x^(-7) 8 Which rule applies to derivatives of negative exponents? a Power rule with exponent e: d/dx x^e = e x^(e-1) b Product rule c Chain rule only 9 If q(x)=1/x, find q'(x) using powers. a q'(x) = -x^(-2) b q'(x) = x^(-2) c q'(x) = -x^2

Froggy Jumps

Negative Power Derivatives QuizOnline version

Power rule with negatives

by Cheeny Mae Daep Pingol

If f(x)=x^(-3), what is f'(x) using the power rule?

f'(x) = 3x^(-2)

f'(x) = -3x^(-4)

f'(x) = -3x^(-3)

Rewrite y=1/x^2 as a power function.

y = -x^(-2)

y = x^(-2)

y = x^2

Differentiate g(x)=x^(-5) with the power rule: g'(x)=?

g'(x) = 5x^(-4)

g'(x) = -5x^(-5)

g'(x) = -5x^(-6)

Which form is NOT a power function?

x^4

1/x^3 written as x^(-3)

x^(1/2)

State the derivative of h(x)=x^(-1).

h'(x) = x^(-2)

h'(x) = -x^(-2)

h'(x) = -1/x^2

Rewrite f(x)=a/x^4 as a power function.

f(x)=a x^(-4)

f(x)=a x^(4)

f(x)=a/x^5

Differentiate p(x)=k x^(-7) with k constant.

p'(x)= -7k x^(-8)

p'(x)= 7k x^(-6)

p'(x)= -7x^(-7)

Which rule applies to derivatives of negative exponents?

Power rule with exponent e: d/dx x^e = e x^(e-1)

Product rule

Chain rule only

If q(x)=1/x, find q'(x) using powers.

q'(x) = -x^(-2)

q'(x) = x^(-2)

q'(x) = -x^2

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Negative Power Derivatives Quiz

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Negative Power Derivatives QuizOnline version

by Cheeny Mae Daep Pingol

If f(x)=x^(-3), what is f'(x) using the power rule?

Rewrite y=1/x^2 as a power function.

Differentiate g(x)=x^(-5) with the power rule: g'(x)=?

Which form is NOT a power function?

State the derivative of h(x)=x^(-1).

Rewrite f(x)=a/x^4 as a power function.

Differentiate p(x)=k x^(-7) with k constant.

Which rule applies to derivatives of negative exponents?

If q(x)=1/x, find q'(x) using powers.

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