Let fx5x12x2 Then the equation of the tangent line to the gr
Let f(x)=5x+(12/x^2). Then the equation of the tangent line to the graph of f(x) at the point (2,14) is given by y=mx+b for
m=?
and
b=?
m=?
and
b=?
Solution
y = 5x + 12/x^2
dy/dx = 5 - 24/x^3
At 2,14, dy/dx = 5 - 24/2^3 = 2
y = -2 x + b
2,14 lies at this point
14 = -2.2 + b
b = 18
m = -2
b = 18
