can someone show me how to use the product rule to find(x^2+1)(X^2-2x)

Question

anonymous · Answer

sorry to diffferentation the function

anonymous · Answer

Recall the product rule first of all$$dy/dx=f \prime(x)g(x)+f(x)g \prime(x)$$Let $$f(x)=x^2+1$$$$g(x)=x^2-2x$$Then we get$$f \prime(x)=2x$$$$g \prime(x)=2x-2$$Substitute these into the product rule formula$$dy/dx=2x(x^2-2x)+(x^2+1)(2x-2)$$Expand and simplify if necessary

anonymous · Answer

well with the product rule you
keep the first * the derivative of the second + keep the second * the derivative of the first.

anonymous · Answer

thanks think i got it now

anonymous · Answer

so you make them into derivivites as the first step all the time?

anonymous · Answer

Yep, look for 2 functions that are multiplied together and set one of them as f(x) and the other as g(x). Find their derivatives and use the formula. Should work every time.

anonymous · Answer

ooh got it now