Find `y'` by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate.

`y=(5-x^2)(x^3-3x+6)`

(a) Apply the Product Rule. Let `u=5-x^2` and `v=x^3-3x+6`.

`d/dx(uv)=(5-x^2)(`   `)+(x^3-3x+6)(`   `)`

(b) Multiply the factors of the original expression, `u` and `v`, to produce a sum of simpler terms.

`y=`  

(c) Find `y'`

`y'=`  

Get help: Video

Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question

Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question

Box 3: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question

Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question