 Hello students, let's solve the following question. It says find the derivative of the following function. The given function is x squared into cos pi by 4 upon sin x. To find the derivative of this function, we'll be using quotient rule. It is d by dx of function u by v is given by v into du by dx minus u into dv by dx upon v square. This will be the key idea. Let us now move on to the solution. We have to find the derivative of x squared into cos pi by 4 upon sin x. Now here cos pi by 4 is a constant. So we can take it out of the derivative sin So it becomes cos pi by 4 into d by dx of x square upon sin x. Now we'll use the quotient rule to obtain the derivative of this function here. u is x squared and v is sin x. So this becomes cos pi by 4 into v that is sin x into d by dx of u which is x square minus u that is x square into d by dx of v that is sin x upon v square that is sin square x. And this is equal to cos pi by 4 into sin x. And the derivative of x square is 2x as we know that derivative of x to the power n is n into x to the power n minus 1. Here n is 2. So this becomes 2 into x to the power 2 minus 1 that is 2x minus x square into derivative of sin x and the derivative of sin x is cos x upon sin square x. Again, this is equal to cos pi by 4 into 2x sin x minus x square cos x upon sin square x. Now taking x common from these two terms we have x into cos pi by 4 2 sin x minus x cos x upon sin square x. So the derivative of the given function is x into cos pi by 4 into 2 sin x minus x cos x upon sin square x. And this completes the question. Bye for now. Take care. Have a good day.