anonymous
  • anonymous
find the equation of the tangent to the parabola x^2=16y at the point (4,1)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Callisto
  • Callisto
Differentiate both sides with respect to x, what do you get?
anonymous
  • anonymous
i got this so far, y=x^2/16 dy/dx=2x/16 = x/8 at (4,1) dy/dx =4/8 =1/2
Callisto
  • Callisto
Yup! So, slope of tangent = m = 1/2 Equation of tangent required is y- y1 = m (x -x1) (x1, y1) = (4,1) Can you do it now?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
yeah but i don't know hw i keep getting x-2y+4
anonymous
  • anonymous
the answer is x-2y-2=0
Callisto
  • Callisto
y- 1 = (1/2) (x -4) Multiply both sides by 2 2 (y-1) = x-4 Can you continue??
anonymous
  • anonymous
yeah thanks !!
Callisto
  • Callisto
Welcome :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.