Find thelocal maxima and local minima, if any, of the following functi

1.	Find thelocal maxima and local minima, if any, of the following functions.Find also the local maximum and the local minimum values, as the casemay be:(i). f(x) = x2 (ii). g(x)= x3 − 3x(iii). h(x)= sinx + cos, 0 < (iv). f(x)= sinx − cos x, 0 < x < 2π(v). f(x) = x3 − 6x2+ 9x + 15(vi). (vii). (viii).
Answer» Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: (i). f(x) = x² (ii). g(x) = x³ − 3x (iii). h(x) = sinx + cos, 0 < (iv). f(x) = sinx − cos x, 0 < x < 2π (v). f(x) = x³ − 6x²+ 9x + 15 (vi). (vii). (viii).

Find thelocal maxima and local minima, if any, of the following functions.Find also the local maximum and the local minimum values, as the casemay be:(i). f(x) = x2 (ii). g(x)= x3 − 3x(iii). h(x)= sinx + cos, 0 < (iv). f(x)= sinx − cos x, 0 < x < 2π(v). f(x) = x3 − 6x2+ 9x + 15(vi). (vii). (viii).

Answer»

Find the
local maxima and local minima, if any, of the following functions.
Find also the local maximum and the local minimum values, as the case
may be:

(i). f(x) = x² (ii). g(x)
= x³ − 3x

(iii). h(x)
= sinx + cos, 0 < (iv). f(x)
= sinx − cos x, 0 < x < 2π