Differentiation...

Each combination corresponds to many permutations.

Factorial of negative numbers is always greater than 1.

The positions of the first and the fifth digits in the number 83256479 are interchanged. Similarly the positions of the second and the sixth digits are interchanged and so on. Which of the following will be the third to the right of the seventh digit from the right end after rearrangement?

Differentiate with respect to x $$\displaystyle x^{4}+3x^{2}-2x$$

The area of a triangle whose vertices are $$(a, c+a), (a, c) $$ and $$(-a, c-a) $$ are 

The greatest number that can be formed by the digits $$7,0,9,8,6,3$$

In the series given below. count the number of 9s, each of which Is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 9s are there?
1 9 2 6 5 9 3 8 3 9 3 2 5 9 2 9 3 4 8 2 6 9 8

If $$f(x) = \displaystyle \log \left | 2x \right |, x\neq 0 $$ then $$f'(x)$$ is equal to-

Differentiation of $$\displaystyle x^{3}+5x^{2}-2$$ with respect to $$x$$ is