If f(x)=2x^2−5x+3, find
f'(−4).
Use this to find the equation of the tangent line to the parabola
y=2x^2−5x+3 at the point (−4,55). The equation of this tangent line
can be written in the form y=mx+b
where m is: ????
and where b is: ????
Study the roots of the nonlinear equation f(x) = cos(x) + (1 /(1
+ e^2x)) both theoretically and numerically. (a) Plot f(x) on the
interval x ∈ [−15, 15] and describe the overall behaviour of the
function as well as the number and location of its roots. Use the
“zoom” feature of Matlab’s plotting window (or change the axis
limits) in order to ensure that you are identifying all roots – you
may have to increase your plotting point density...
f(x)=2x^4-5x^3-9x^2+32x-20
-Find the
A: Intercepts
B: equation of asymptote
C: local extrema
D: Inflection Point
E: All end behaviours and behaviours around the
asymptote