Question 1

$f(x)=\sqrt[9]{x}$

Accepted Answer

Power Rule

Answer

Quotient Rule

Answer

Product Rule

Answer

Chain Rule

Question 2

$\frac{2x^5-x^4}{10x}$

Accepted Answer

Simplify then Power Rule

Answer

Power Rule Numerator and Denominator

Answer

Chain Rule

Answer

Quotient Rule

Question 3

$\frac{24x}{4x^6-x^5}$

Accepted Answer

Quotient Rule

Answer

Simplify then Power Rule

Answer

Power Rule Numerator & Denominator

Answer

Chain Rule

Question 4

$6x(x^8+7)$

Accepted Answer

Multiply (Simplify) then Power Rule

Answer

Chain Rule

Answer

Power Rule first and second factor and multiply

Answer

Product Rule

Question 5

$(x^\frac{2}{3}-8x^\frac{1}{3})(x^\frac{4}{3}+4x)$

Accepted Answer

Product Rule

Answer

Chain Rule

Answer

Power Rule

Answer

Quotient Rule

Question 6

$\frac{9x^2+1}{x^2+4}$

Accepted Answer

Quotient Rule

Answer

Power Rule to the Numerator & Denominator

Answer

Product Rule

Answer

Chain Rule

Question 7

$(4x^6+5)^4$

Accepted Answer

Chain Rule

Answer

Product Rule

Answer

Power Rule

Answer

Quotient Rule

Question 8

$3x^2(4x^7-3)^3$

Accepted Answer

Product Rule

Answer

Power Rule to first factor and second factor then multiply

Answer

Distribute then Chain Rule

Answer

Distribute then Power Rule

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