Can anyone check my math on the following equation? I'm trying to find the slope of the tangent at$ x=3.5 $ for $ y = 0.000005x^4 - 0.0014x^3 + 0.1007x^2 - 4.4776x + 168.79$
It's been a very long time since I've done calculus, and I THINK what I need to do is find the derivative before plugging$ x=3.5$ in...
$y' = 0.00002x^3 - 0.0042x^2 + 0.2014x - 4.4776$ $y'(3.5) = 0.000000000000343 - 0.00021609 + 0.7049 - 4.4776$ $y'(3.5) = -3.772916089999657$