Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ By quotient rule, f 1 sin x cos xcos x 1 sin x ' x dx dx 2 1 sin x 1 sin xsin x cos xcos x 2 1 sin x 2 2 x x x 2 sin sin cos 1sin x 2 2 x x x sin sin cos 2 1sin x sin x 1 1 sin x 1sin 1sin x 1 1 sin x 2 x 2 d d Question 17: 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 zero constants and m and n are integers): sin x cos x sin xcos x Solution 17: Let f (x) = sin x cos x sin xcos x By quotient rule, f d sin x cos x sin x cos xsin x cos x sin x cos x ' x dx dx 2 sin xcos x sin x cos xcos x sin xsin x cos xcos x sin x 2 sin xcos x 2 2 sin x cos x sin x cos x 2 sin xcos x d 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 2 2 sin x cos x 2sin xcos x sin x cos x 2sin xcos x 2 sin xcos x **11** sin xcos x 2 sin xcos x 2 2 Question 18: 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-zero constants and m and n are integers): sec x 1 sec x 1 Solution 18: Let f(x) = sec x 1 sec x 1 1 1 cos x 1 cos x f x 1 1 1 cos x cos x By quotient rule, f 1 cos x 1 cos x1 cos x 1 cos x ' x dx dx 2 1 cos x 1 cos xsin x1 cos xsin x 2 1 cos x sin x cos xsin x sin x sin xcos x 2 1cos x 2sin x 1 cos x 2 d 2sin x 2sin x 1 sec x 1 1 sec 2 x sec x 2 2sin xsec x 2 sec x 1 2 2 d Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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**Magazine:** CLASS_11_MATHS_SOLUTIONS_NCERT

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