Science (English Medium) कक्षा १२ - CBSE Question Bank Solutions

If A and B are two matrices of order 3 × m and 3 × n respectively and m = n, then the order of 5A − 2B is 

If A and B are matrices of the same order, then AB^T − BA^T is a 

The matrix  \[A = \begin{bmatrix}0 & - 5 & 8 \\ 5 & 0 & 12 \\ - 8 & - 12 & 0\end{bmatrix}\] is a 

The matrix   \[A = \begin{bmatrix}1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4\end{bmatrix}\] is

Differentiate the following functions from first principles e^−x.

Differentiate the following functions from first principles e^3x.

Differentiate the following functions from first principles e^ax+b.

Differentiate the following functions from first principles e^cos x.

Differentiate the following functions from first principles  \[e^\sqrt{2x}\].

Differentiate the following functions from first principles log cos x ?

​Differentiate the following function from first principles \[e^\sqrt{\cot x}\] .

Differentiate the following functions from first principles x²e^x ?

Differentiate the following functions from first principles log cosec x ?

Differentiate the following functions from first principles sin⁻¹ (2x + 3) ?

Differentiate sin (3x + 5) ?

Differentiate tan² x ?

Differentiate tan (x° + 45°) ?

Differentiate sin (log x) ?

Differentiate \[e^{\sin} \sqrt{x}\] ?

Differentiate e^tan x ?