Consider this function y = f(x) on the domain (-co, co). f(x) = { √x sin() + 38 if x = 0 38 if x = 0 (a) If x 0, f'(x)= | |

Consider the following functions. g(x) h(x) f(x) = x + Ex - 5x-2 x + √5x 5x 2 Find the derivative of each function. √5 = g'(x) 1+ 2√x h'(x) = 5 f'(x) = -4x-5√√5x (x) = -2√3 2x (5x-2)² X

Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

Consider the following functions: f(x)= x+1' and g(x) = Find the domain of (f og)(x). Enter your answer using interval notation

Find  (f −1)'(a). f(x) = 3x3 + 3 sin x + 3 cos x,    a = 3 (f −1)'(a) =