Answer to Question #167025 in Calculus for Samir khan

Question #167025

Determine all of the points on the curve

y = 3x2 + 24x - 3 where the slope of the tangent line is 6


1
Expert's answer
2021-02-28T07:43:39-0500

Consider the function y=3x2+24x3y=3x^2+24x-3


Differentiate the function yy with respect to xx as,


dydx=ddx(3x2+24x3)\frac{dy}{dx}=\frac{d}{dx}(3x^2+24x-3)


=3(2x)+24(1)=3(2x)+24(1)


=6x+24=6x+24


Since, the slope of the tangent line is 66 , therefore,


dydx=6\frac{dy}{dx}=6


6x+24=66x+24=6


6x+2424=6246x+24-24=6-24


6x=186x=-18


x=3x=-3


At x=3x=-3 , y=3(3)2+24(3)3=48y=3(-3)^2+24(-3)-3=-48


Therefore, the point on the curve in ordered pair is (3,48)(-3,-48).

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog