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OpenStudy (anonymous):
i'm so confuse with this problem I have to use the limits rules but find the derivative B. F (x)= x²-16/x-4=?
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OpenStudy (jdoe0001):
hmm, well, that's an easy one :/
OpenStudy (jdoe0001):
notice \(\bf x^2-16\\
\text{keep in mind that}\\
(a-b)(a+b) = (a^2-b^2)
\)
OpenStudy (anonymous):
-15?
OpenStudy (anonymous):
i think i have to subtract but i don't really remember the derivative rules :s
OpenStudy (jdoe0001):
well, you want the derivative of f(x) right?
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OpenStudy (anonymous):
yes
OpenStudy (jdoe0001):
so \(\bf \cfrac{x^2-16}{x-4}\\
\cfrac{x^2-4^2}{x-4} \implies \cfrac{\cancel{(x-4)}(x+4)}{\cancel{x-4}}\\
x+4\)
OpenStudy (jdoe0001):
from there just use the power rule to get the derivative of x+4
OpenStudy (anonymous):
O_o wow lol u made it look so easy.... hehehe thanks
OpenStudy (jdoe0001):
yw
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OpenStudy (jdoe0001):
so using the power rule, derivative of \(\bf x^{1}\) is 1, and 4 is a constant so derivative of a constant is 0, so
1 + 0 => 1
OpenStudy (anonymous):
-_- goodness I found this site (y) @jdoe0001
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