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

1.	Find the local maxima and local minima, if any of the following functions. Also, find the local maximum and the local minimum values, as the case may be as follows. f(x)=x2 g(x)=x3−3x h(x)=sinx+cosx,0<x<π2 f(x)=sinx−cosx,0<x<2π f(x)=x3−6x2+9x+15 g(x)=x2+2x,x>0 g(x)=1x2+2 f(x)=x√1−x,x>0
Answer» Find the local maxima and local minima, if any of the following functions. Also, find the local maximum and the local minimum values, as the case may be as follows. $f (x) = x^{2}$ $g (x) = x^{3} - 3 x$ $h (x) = s i n x + c o s x, 0 < x < \frac{π}{2}$ $f (x) = s i n x - c o s x, 0 < x < 2 π$ $f (x) = x^{3} - 6 x^{2} + 9 x + 15$ $g (x) = \frac{x}{2} + \frac{2}{x}, x > 0$ $g (x) = \frac{1}{x^{2} + 2}$ $f (x) = x \sqrt{1 - x}, x > 0$

Find the local maxima and local minima, if any of the following functions. Also, find the local maximum and the local minimum values, as the case may be as follows. f(x)=x2 g(x)=x3−3x h(x)=sinx+cosx,0<x<π2 f(x)=sinx−cosx,0<x<2π f(x)=x3−6x2+9x+15 g(x)=x2+2x,x>0 g(x)=1x2+2 f(x)=x√1−x,x>0

Answer»

Find the local maxima and local minima, if any of the following functions. Also, find the local maximum and the local minimum values, as the case may be as follows.
$f (x) = x^{2}$

$g (x) = x^{3} - 3 x$

$h (x) = s i n x + c o s x, 0 < x < \frac{π}{2}$

$f (x) = s i n x - c o s x, 0 < x < 2 π$

$f (x) = x^{3} - 6 x^{2} + 9 x + 15$

$g (x) = \frac{x}{2} + \frac{2}{x}, x > 0$

$g (x) = \frac{1}{x^{2} + 2}$

$f (x) = x \sqrt{1 - x}, x > 0$

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