With f(x)=7x^{2}+2 f(x)=7x^{2}+2 Show External URL Show Embeded Code Hide MathML Code f(x)=

garcialdaria2zky1 2022-05-11 Answered

 f ( x ) = 7 x 2 + 2 and g ( x ) = 5 x 3 + 7 x 2 + 6 x, find the derivative of the quotient f ( x ) g ( x ) .

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Elyse Huff
Answered 2022-05-12 Author has 15 answers

Set up the composite result function.

g(f(x))

Evaluate g(7x2+2) by substituting in the value of f into g.

g(7x2+2)=5(7x2+2)3+7(7x2+2)2+6(7x2+2)

Simplify each term.

g(7x2+2)=1715x6+1470x4+420x2+40+343x4+196x2+28+42x2+12

Simplify by adding terms.

g(7x2+2)=1715x6+1813x4+658x2+80

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question