Sufficient Condition for an Extrema

Q.

38. If f(x) and g(x) be two given function with all real numbers as their domain, then h(x) = {f(x)+f(-x)}{g(x)-g(-x)} is

1. Even

2. Odd

3. Even as well as odd

4. None

Q. log base3 .log base2. log root 5(5^4) is equal to 5^4 not in base options 1 2 3 0

Q.

In any $\Delta ABC,$ prove that

$a(cosC-cosB)=2(b-c)co{s}^2\frac{A}{2}.$

Q. 19. short trick to find period of f(x+1)+f(x-1)=root0f3 f(x)

Q.

f(x) and f’(x) are differentiable at x = c. A sufficient condition for f(c) to be an extremum of f(x) is that f’(x) changes sign as x passes through c

1. True

2. False

Q. The point of inflection for the function $f\left(x\right)={\sin }^{-1}x$ is:

1. $x=\frac{1}{2}$
2. $x=\frac{1}{\sqrt{2}}$
3. $x=0$
4. $x=-\frac{1}{2}$

Q.

evaluate: lim h tends to 0 (under root(x+h)-under root (x))/ h