Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ Question 7: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non 1 zero constants and m and n are integers): 2 ax bx c Solution 7: 1 Let f(x) = 2 ax bx c By quotient rule, 2 d d 2 ax bx c 1 ax bx c f ' x dx dx 2 2 ax bx c = 2 ax bx c02ax b 2 ax bx c 2ax b 2 ax bx c 2 2 Question 8: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non ax b zero constants and m and n are integers): 2 px qx r Solution 8: ax b Let f(x) = 2 px qx r By quotient rule, f ' = x 2 d d 2 px qx r ax bax b px qx r dx dx 2 2 px qx r 2 px qx raax b2px q 2 px qx r 2 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ 2 2 apx aqx ar 2apx aqx 2npx bq 2 2 = px qx r px qx r 2 apx 2bpx ar bq 2 2 Question 9: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non 2 px qx r zero constants and m and n are integers): ax b Solution 9: 2 px qx r Let f(x) = ax b By quotient rule, d 2 2 d ax b px qx r px qx r ax b f x dx dx 2 ax b = 2 ax b2px q px qx ra 2 ax b 2 2 = 2 2 apx aqx bpx bq aqx aqx ar 2 2 apx 2bpx bq ar 2 ax b ax b Question 10: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s a b are fixed non-zero constants and m and n are integers): cos x 4 2 x x Solution 10: a b Let f(x) = cos x 4 2 x x Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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