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OpenStudy (anonymous):
OpenStudy (anonymous):
ill type it out if you cant see it
OpenStudy (amistre64):
cant see it
OpenStudy (anonymous):
where did you get the 13 from?
OpenStudy (anonymous):
take the derivative, replace x by 1 and you should get 10 if i am not mistaken
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OpenStudy (anonymous):
For the function f(x) = 5x^2+3, find the equation of the tangent line to the graph of f at x=1. If the equation of the tangent line is written as: y=mx+b, what are m and b?
m=
b=
OpenStudy (amistre64):
find f(1) to establish the point
and find f'(1) to establish a slope
OpenStudy (amistre64):
then
y = mx + b
y = f'(1)x -f'(1)+f(1)
OpenStudy (anonymous):
i got 13 by getting 10(1)+3
OpenStudy (amistre64):
5(1)+3 = 8
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OpenStudy (amistre64):
5(1^2) not= 10
OpenStudy (amistre64):
..... youre talking the derivative tho lol
OpenStudy (amistre64):
derivative of 5x^2+3 is 10x
10(1) = 10
OpenStudy (anonymous):
i am going to guess that the mistake was in taking the derivative and getting
\[y'=10x+3\] instead of the correct
\[y'=10x\]
just a guess
OpenStudy (amistre64):
y = 10x -10+8
y = 10x -2
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OpenStudy (anonymous):
what amistre said
OpenStudy (anonymous):
yeah my mistake was that i kept the 3 after taking the derivative