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Steps for the Limit Definition of a Derivative
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Verify the derivative of $$f(x)=x^2$$ using the limit definition by ranking the steps. Order the steps from first to last:
A: Write the difference quotient as $$\frac{(a+h)^2 - a^2}{h}$$
B: Expand $$(a+h)^2$$ to obtain $$a^2 + 2*a*h + h^2$$
C: Cancel the $$a^2$$ terms and factor h from the numerator
D: Take the limit as $$h \to 0$$ to conclude that the derivative is $$2*a$$

A

Write the difference quotient, Cancel common terms and factor h, Expand the binomial, Take the limit as h → 0

B

Write the difference quotient, Expand the binomial, Cancel common terms and factor h, Take the limit as h → 0

C

Expand the binomial, Write the difference quotient, Cancel common terms and factor h, Take the limit as h → 0

D

Cancel common terms and factor h, Write the difference quotient, Expand the binomial, Take the limit as h → 0

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