 Hello and welcome to the session. The position says find the derivative of the following functions. It is to be understood that a, b, c, d, p, q are in s of x non-zero constants and m and n are integers. So, let's start with the solution. Here let us denote the given function by y. So, y is equal to cos x into cot x. Now we have to find its derivative that is dy upon dx. Now let cos x be u and cot x be v. Then by the product rule we have u dash into v plus u into v dash that is supposed to find the derivative of u. Multiply it with v plus u into the derivative of v. This is the product rule of differentiation. So we have derivative of cos x into v is cot x plus u that is cos x into derivative of v that is cot x. This is further equal to derivative of cos x is minus cos x into cot x. Then we have cot x plus cos x and derivative of cot x is minus cos x square x. This is further equal to minus cos x into cot x into cot x is cot square x minus cos x cube x which can further be written as minus cos x cube x minus cos x into cot square x. Rearranging both the terms. Thus on differentiating the given function our answer is minus cos x cube x minus cos x into cot square x. So this completes the session. Bye and take care.