Thread: function f(x)g(x)

Let f(x)= 2x+5 and g(x)= x^2+2

a) Find function f(x)g(x) and simplify

b) Find d/dx (f(x)g(x))= d/dx (simplified form)... in other words find derivative of simplified form

c) Compare (b) to f'(x)g'(x)

these are the answers I got

a) 2x^3 +5x^2+4x+10

b) 6x^2+10x+4

c) 2x^3-x^2-6x+6

are they corect if not please show me how to get these correct thank you

Originally Posted by asweet1

Let f(x)= 2x+5 and g(x)= x^2+2

a) Find function f(x)g(x) and simplify

b) Find d/dx (f(x)g(x))= d/dx (simplified form)... in other words find derivative of simplified form

c) Compare (b) to f'(x)g'(x)

these are the answers I got

a) 2x^3 +5x^2+4x+10

b) 6x^2+10x+4

c) 2x^3-x^2-6x+6 f'(x)g'(x) = 2(2x) = 4x

...

so are the rest of them correct?

Originally Posted by asweet1

so are the rest of them correct?

I only corrected the one that was incorrect.