Question

Tolong dibantu jawab plis

Answer 1

Verified answer

Jawab:

turunan

Penjelasan dengan langkah-langkah:

f(x)= x² + 1 → f'(x) =  2x

g(x)= x² → g'(x) = 2x

a)  h(x) =  [ f(x) ]²

h'(x)  = 2. f(x) . f'(x)

h'(x) = 2 (x² + 1) . (2x) = (2x² +2)(2x)

h'(x) = 4x³ + 4x

b) h(x) =  log( f(x))

h ' (x) =  f'(x)/ f(x) = (2x) / (x² +1)

c) h(x) =  f(x) /g(x)

h'(x) = ( f' g - f g' )/( g²)

h '(x) =  { (2x)(x²) -  (x² +1). (2x) } /( x²)²

h'(x) =  { 2x³ - 2x³ - 2x } / ( x⁴)

h'(x) = ( -2x ) / (x⁴)

h'(x) =  - 2/ x³