Mathematics
14 Online
OpenStudy (anonymous):
find the derivative of each of the following
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
f(x)=(3^2+5)(2x-1)
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
Join the QuestionCove community and study together with friends!
Sign Up
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".
Join the QuestionCove community and study together with friends!
Sign Up
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.
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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.