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Derivatives by formula - other trignometric
Derivatives by formula - other trignometric
Last updated at May 29, 2023 by Teachoo
Misc 15 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): cosec x cot x Let f(x) = cosec x cot x Let u = cosec x & v = cot x So, f(x) = uv f (x) = (uv) Using product rule f (x) = u v + v u Finding u & v u = cosec x u = cosec x cot x v = cot x v = cosec2x Now, f (x) = (uv) = u v + v u = cosec x cot x (cot x) + ( cosec2x) (cosec x) = cosec x . cot2 x cosec3x = cosec3x cosec x cot2x