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

and , find the derivative of the quotient .

You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Elyse Huff

Set up the composite result function.

$g\left(f\left(x\right)\right)$

Evaluate $g\left(7{x}^{2}+2\right)$ by substituting in the value of $f$ into $g$.

$g\left(7{x}^{2}+2\right)=5{\left(7{x}^{2}+2\right)}^{3}+7{\left(7{x}^{2}+2\right)}^{2}+6\left(7{x}^{2}+2\right)$

Simplify each term.

$g\left(7{x}^{2}+2\right)=1715{x}^{6}+1470{x}^{4}+420{x}^{2}+40+343{x}^{4}+196{x}^{2}+28+42{x}^{2}+12$

$g\left(7{x}^{2}+2\right)=1715{x}^{6}+1813{x}^{4}+658{x}^{2}+80$

###### Not exactly what you’re looking for?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee