The slope of the tangent line to the parabola y = 4 x^2 + 7 x + 5 at the point ( 5 , 140 ) is:
The equation of this tangent line can be written in the form y = mx+b where m is:
and where b is:

Question

The slope of the tangent line to the parabola y = 4 x^2 + 7 x + 5 at the point ( 5 , 140 ) is:
The equation of this tangent line can be written in the form y = mx+b where m is:
and where b is:

anonymous · Answer

m-is the slope, b-is the y-int? or you need the values??

anonymous · Answer

i need the actual values

anonymous · Answer

take the derivative, replace $x$ by $5$

anonymous · Answer

how do i do that? i am not exactly sure

anonymous · Answer

$$y = 4 x^2 + 7 x + 5 $$
$$y'=8x+7$$ by the power rule

anonymous · Answer

replace $x$ by $5$ and get  $47$
that is your slope

anonymous · Answer

ahhh thank you so much! I remember learning about the power rule in class today