Hello candidate,

Differentiation of a logarithmic function having some other function within its bracket, need to use the principle of chain rule in order to solve this questions.

As, the question asks the derivative of log(e^x) respect to X, hence the answer is log(e^x)× e^x.

Hope this information was helpful for you!!

Have a good day.

Hello candidate,

The meaning of differential coefficient is is the basic for primary differentiation of any function with respect to a variable in single order.

Using the principle of differentiation to differentiate the function log(X) with respect to X, we get the differential coefficient as 1/X.

Hope that this information was helpful for you.

Good luck!!

Hello candidate,

The total number of terms in the expression of (1+x)^2n+1 is equal to 2n+2. So, the middle term of the expression is 2n+2/2= (n+1)th term.

So, the term is 2n+1Cn+1* x^n+1*1^n+1, where the term C represents Combination of Permutation and Combination.

Hope that this Information helps you!!

Hope it helps.

Hello,

The degree of the polynomial is the highest of the degrees of the polynomials' monomials with non-zero coefficients.

For polynomial: xy + yz^2 + z^2x^3

We have degree of first term, xy = 1 + 1 = 2

We have degree of second term, yz^2 = 1 + 2 = 3

We have degree of third term, z^2x^3 = 2 + 3 = 5

The highest is 5, therefore the degree of the above polynomial is 5 (Answer)

Hey!

First clear your basic concepts of plane geometry and solve some basic questions from ncert, then try to solve the advanced level questions without looking at the solution. Once you are done with the practice of same, then solve the previous years problems.

For more information you can go through this link

https://www.google.com/amp/s/school.careers360.com/articles/how-to-prepare-for-kvpy/amp

Good Luck

Hello there!

Greetings!

I am extremely sorry to tell you dear but it is not possible to draw a graph or anything  here . If you have any other query then let me know so that I can help you . Always feel free to ask your questions.

Thankyou

Hello there!

Greetings!

To solve these kind of questions you should always remember that if A and B are matrices then rank of AB is always less than or equal to rank of matrix A . And if the matrix B is a non -singular matrix then rank of AB is equal to A . So in case if B is a non -singular matrix then rank of (AB)= rank(A)=2 (given).

Thankyou