Search
Ask a question
0

Differentiation

Derive the product rule for the differentiation of the product of three differentiable functions, that is , d/dx(f(x)g(x)h(x)).
 
 
Thank You!

2 Answers by Expert Tutors

Tutors, sign in to answer this question.
Michael F. | Mathematics TutorMathematics Tutor
4.7 4.7 (6 lesson ratings) (6)
0
(fgh)'=f'gh+fg'h+fgh'
 
Jim S. | Physics (and math) are fun, reallyPhysics (and math) are fun, really
4.6 4.6 (151 lesson ratings) (151)
0
d/dx(f(x)g(x)h(x))=f(x)d/dx(g(x)h(x))+g(x)h(x)df/dx=f(gdh/dx +hdg/x)+ghdf/dx=fgdh/dx+fhdg/dx+ghdf/dx
 
The idea is to apply the product rule twice…the notation gets a little messy with a keyboard
 
Jim