5s +3 3) Find L'{Y(s)} where Y(s) = (s+1)(s+2)(s+3)

(2t+1) Find the derivative of S (t) = e6t et (3(2t + 1)2 (2))- (2t + 1) (et (6)) (e6t)2 s' (t) = (2t + 1) (et (6)) – eôt (3(2t + 1)² (2)) (e6t)2 s'(t) e (3(2t + 1)(2))- (2t + 1)³ (e* (6)) s'(t) = (e6t)2 ebt (3(2t + 1) (2)) – (2t + 1)* (et) (e6t)2 s' (t) =

z= P(p* -5) dz Find p'-6p dp

If f is a differentiable function, find an expression for the derivative of each of the following functions. (a) y = x²f(x) Ⓒy' = x6f '(x) - 6x7f(x) O y'=x7f '(x) + 7x6f(x) O y'= x7f(x) + 7x6f '(x) O y' = x²f(x) – 7x6f '(x) - O y'= xof '(x) + 6x f(x) (b) y = O y'= Oy' = f(x) x5 O y' = xf '(x) - 4f(x) 6 O y'=xf'(x) - 5f(x) +6 xf(x) + 5f '(x) x5 O y'= xf '(x) + 4f(x) x5 y = xf(x) = 5f '(x) +4 X ♥ (c) to f(x) O y'=f'(x)(6x5) — x6f(x) [f(x)]² O y' = f'(x)(5x5) - x6f '(x) [f(x)]² O y'= f(x)(5x6) + x6ƒ '(x) [f(x)]² HA چار