Misc 24 - Find derivative: (ax2 + sin x) (p + q cos x) - Miscellaneous

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Misc 24 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): (ax2 + sin x)( p + q cos x) Let f (x) = (ax2 + sin x) (p + q cos x) Let u = ax2 + sin x & v = p + q cos x f(x) = uv So, f (x) = Using product rule = + Finding u & v u = ax2 + sin x u = (ax2 + sin x) = 2ax + cos x v = p + q cos x v = (p + q cos x) = 0 + q ( sin x) = q sin x Now, f (x) = = + = (2ax + cos x) (p + q cos x) + ( q sin x) (ax2 + sin x) = q sin x (ax2 + sin x) + p + q cos x) (2as + cos x)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.