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Q1. (a) Find the derivative of the following functions: f(x)=x-5 G(x) = ¹ (b) Find ª (x¹⁰ – 8x5 − 5x4 + 10x³ − 7x + 8) - dx Q2 (a) Find the derivative of the function: f(x) = x³ g(x) (b) Differentiate y = (x³ - 4)¹⁰ (c) If f and g are functions, find the derivative of (1.5 x 2 = 3 marks) (3 marks) (3 marks) (3 marks) (3 marks)

Solution Q (9) 12 SUPELUHP :: (5) P d (b) 12 f(2)=25 on noi! -5-41 dn = -52 кр = - 526 5 & (2²5) = -56 ها و (210-895-521²+10013 = dn¹⁰_d (825) _dossit + वय hy up +100=74+8 7n+8) we know that d (4.v) = = 1021/ 8x52 = 10₂²³²-40m² - 201²³ + 30m² - 7 3 (1) f(n) = ²³ gr & g(n) = g(n) dr & f(m) = f'(m) given f(m) = 2³ let A+ $(101³). Fr кр (v) tudiyas gir) 4=23 G₁ (~) = &G (2) = (3) dr позвол C 3 S-1 4-1 3-4 - SX4 21² + 10X321²³ - 701² to 1 d dr (2³) da GEY= 3-1 321 32² 38² 3)_1 (721 ) +1 (8) (s

f(x) = 2³ (²)+(m) (²) g(n) dr f'(m/= 2³ g(n) + (x32² f'(m) = n³g|(x) + 3m² g) (b) y=(²7) ²0 by chain Rule=) dy = 10 (n=7) 11 (1²4) dr d=10(2²4) ³ (s₂²-0) dy = 10/2³-71² Sn7 d2 = 50x³ (²41² dn (e) derivative of (*) = ? d (f) = g(n) de f(n)-f(n)d glo) .2 (f) (m) = amid flm) - fing) (alay;² (+)/(m = gray.flcm)-f(in glmay (9(0)32