Math  /  Calculus

Questiona) Use the Quotient Rule to find the derivative of the given function. b) Find the derivative by dividing the expressions first. y=x6x4 for x0y=\frac{x^{6}}{x^{4}} \text { for } x \neq 0 a) Use the Quotient Rule to find the derivative of the given function. Select the correct answer below and fill in the answer box(es) to complete your choice. A. The derivative is x6()+x4()x8\frac{x^{6} \cdot(\square)+x^{4}(\square)}{x^{8}} B. The derivative is x6()x4()x6\frac{x^{6} \cdot(\square)-x^{4}(\square)}{x^{6}}. C. The derivative is x4()x6()x8\frac{x^{4} \cdot(\square)-x^{6}(\square)}{x^{8}}. D. The derivative is x4()x6()x6\frac{x^{4} \cdot(\square)-x^{6}(\square)}{x^{6}}

Studdy Solution
Differentiate the simplified function y=x2 y = x^2 .
y=ddx(x2)=2xy' = \frac{d}{dx}(x^2) = 2x
The derivative obtained by both methods is y=2x y' = 2x .
y=2x\boxed{y' = 2x}

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