 Hello and welcome to the session. My name is Mansi and I'm going to help you with the following question. The question says, find the derivative of x raise to power minus 4 into 3 minus 4 into x raise to power minus 5. Let us start with the solution to this question. Let fx be equal to x raise to power minus 4 into 3 minus 4 into x raise to power minus 5. Let us simplify this expression by opening the bracket. We will have 3 into x raise to power minus 4 minus 4 into x raise to power minus 5 into x raise to power minus 4. This is equal to 3 into x raise to power minus 4 minus 4 into x raise to power minus 5 minus 4 because we know that when bases are same then in multiplication the powers get added. So minus 5 plus minus will be minus, so minus 5 minus 4 we have in the power. This is equal to 3 into x raise to power minus 4 minus 4 into x raise to power minus 9. Now we can find out f dash x that is derivative of fx with respect to x that will be equal to 3 into minus 4 into x raise to power minus 4 minus 1 minus 4 into x raise to power minus 9 minus 1 into minus 9. Now this happens in the first term we see 3 remains as it is because this is a constant, 4 remains as it is because it is a constant x raise to power minus 4. Now when we find the derivative of this we get minus 4 into x raise to power minus 4 minus 1 and in this case we get minus 9 into x raise to power minus 9 minus 1. Now this happens because we know that derivative with respect to x of x raise to power n is equal to n into x raise to power n minus 1. So in the first term n is minus 4 and the second term n is minus 9. Let us simplify this we get minus 12 into x raise to power minus 5 minus minus become plus 9, 4, 3, 6 into x raise to power minus 10 and this can be written as minus 12 divided by x raise to power 5 plus 36 divided by x raise to power 10. So this is our answer to the question. I hope that you understood the question and enjoyed the session. Have a good day.