SOLUTION: For this function, calculate the equation of the tangent line at the given point f(x) = ( x^2/19) at the point (4,(16/19))

Algebra ->  Functions -> SOLUTION: For this function, calculate the equation of the tangent line at the given point f(x) = ( x^2/19) at the point (4,(16/19))       Log On


   



Question 852169: For this function, calculate the equation of the tangent line at the given point
f(x) = ( x^2/19) at the point (4,(16/19))

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the tangent is the value of the derivative at that point.
y=x%5E2%2F19
dy%2Fdx=%282%2F19%29x
At x=4,m=dy%2Fdx=%282%2F19%29%284%29=8%2F19
y=%288%2F19%29x%2Bb
Use the point (4, 16/19) to determine b.
16%2F19=%288%2F19%294%2Bb
16%2F19=32%2F19%2Bb
b=-16%2F19
.
.
y=%288%2F19%29x-16%2F19
.
.