SOLUTION: What is the equation of the line tangent to the parabola y^2=4x at point (4,4)?

Question 1110828: What is the equation of the line tangent to the parabola y^2=4x at point (4,4)?
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!

Use implicit differentiation to find an expression for the slope, dy/dx.

At the point (4,4), the slope is

Now you have a point (4,4) and a slope 1/2.

Presumably if you are working on a problem like this you know how to find the equation of the line, given the slope and a point on the line.
RELATED QUESTIONS
Find the equation of tangent to the parabola y^2 = 12x at the point... (answered by Alan3354)

Find an equation of the tangent line to the parabola y=2x^2 at the point (-1,2),... (answered by Alan3354)

find an equation of the tangent line to the parabola y=2x^2 at the point (-1,2), and find (answered by Alan3354)

Find the equation of the circle if it is tangent to the line x+y=2 at point (4,-2) and... (answered by MathLover1)

Write the equation of the line that is tangent to the circle x2 + y2 = 100 at the point... (answered by josgarithmetic)

Find an equation of the tangent line to the parabola y=-1/2x^2 at the point (2, - 2).... (answered by brysca)

Write the equation of the line that is tangent to the circle (x � 2)2 + (y � 4)2 = 289,... (answered by MathLover1)

Find the equation of the tangent to the parabola y^2=12x at the point (2,... (answered by Alan3354)

Use implicit differentiation to find an equation of the tangent line to the ellipse at... (answered by robertb)