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Mathematics 14 Online
OpenStudy (anonymous):

find the derivative of each of the following

OpenStudy (anonymous):

f(x)=(3^2+5)(2x-1)

OpenStudy (kc_kennylau):

Before you ask anything, http://wolframalpha.com/ may be able to help you

OpenStudy (kc_kennylau):

In this case you would like to simplify 3^2+5 first.

OpenStudy (kc_kennylau):

Actually you would like to expand and simplify the whole thing first.

OpenStudy (anonymous):

6+5+2x-1

OpenStudy (kc_kennylau):

Please be aware that 3^2 is not 6, and that if anything it's (6+5)(2x-1) with the brackets signifying "multiply".

OpenStudy (anonymous):

(9+5)(2x-1)

OpenStudy (anonymous):

18x-1+10x-5

OpenStudy (anonymous):

28x-6

OpenStudy (kc_kennylau):

You forgot to multiply 9 by -1, making the erroneous "-1".

OpenStudy (anonymous):

28x-14

OpenStudy (kc_kennylau):

Then you can find its derivative now.

OpenStudy (kc_kennylau):

First, derivative of constant is 0.

OpenStudy (anonymous):

why

OpenStudy (kc_kennylau):

If you draw a graph of y=-14, its slope would be 0.

OpenStudy (kc_kennylau):

Derivative is finding the slope of a curve at the point (x, f(x))

OpenStudy (kc_kennylau):

The derivative of 28x would be 28.

OpenStudy (anonymous):

oh i got it

OpenStudy (kc_kennylau):

Glad that you got it, what's the answer that you got?

OpenStudy (anonymous):

28

OpenStudy (kc_kennylau):

Good job

OpenStudy (anonymous):

right

OpenStudy (anonymous):

would 28 be the derivative or something else

OpenStudy (kc_kennylau):

28 would be derivative.

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