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Mathematics 9 Online
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=?

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?

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

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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