Question

ENGINEERING MATHEMATICS

on 11 Compute f'(0) for the following function by using Quotient Rule. Kira f'(0) untuk fungsi berikut dengan menggunakan hukum bahagi. ed d out of f(x) x3 + sin 52 2x + e 3x question Answer: evious page Next F PRE

Answer 1

solution - given function fino a x + sin 5x 3x axt e het fra)= gen) hing where gw)=x² tsin58 hong - 2x + 3x him to The quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable function. Like f(0) = g(n) gaudh are differentiable HU and howto Then from phoctient sure, the derivative of frow is given by grew himo-gealhou (211 = lhoole o gem) = +sin 5m, g(n=34?+5c0550 34 hou) = 204+39 , ha= 2+3e plet in, we get (30+505 51 (21+5)–(m+f05) (94323 (am + P3272 flex) =

f' (21) = (6x² + 3x²3x +3x+634+ 10% (0852+5e3%cescu) - (223+ 300 e +2512521t3 in 52) 31 3K (ante34)2 2 fing + yr +32 (1-23239+(100+ 5e4) cos +(2+32"singe ( auto2412 at N=0 0+0+ (0+5).1 +(273).0 f'(o)= (0+1)? 5 If'(o)= 5 eamont