Category 2: Product Rule Q: f(x)=(x+3)(2x-5) A: f^\' (x)=1(2x-5)+2(x+3)=2x-5+2x+

Question

Category 2: Product Rule

                    Q: f(x)=(x+3)(2x-5)
                    A: f^' (x)=1(2x-5)+2(x+3)=2x-5+2x+6=4x+1
                    RULE SIMPLIFY ANSWER


                    Q: f(x)=(x^2+4x-2)(5x-7)
                    A: f^' (x)=5(x^2+4x-2)+(2x+4)(5x-7)=5x^2+20x-10+10x^2-14x+20x-28=15x^2+26x-38


                    Q: f(x)=2x?x
                    A: f^' (x)=1/(2?x) (2x)+2(?x)=x/?x+2?x=?x+2?x=3?x
                    RULE SIMPLIFYING ANSWER

                    What Rule or Process can you develop that can be used to solve any category two problem?

Explanation / Answer

either open up the polynomial and differenitate term by term ....OR use product rule ...... f(x) = M(x)*N(x) where M and N are two expression of x...keeping one constant take derivative of second + keeping second constent take derivative of other

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