this week we learned about product and quotient rule of derivatives
Product Rule:
f(x)g'(x)+g(x)f'(x)
Quotient Rule:
g(x)f'(x)-f(x)g'(x)/(g(x))^2
the idea is its not all about your calculus work, its more about algebra after plugging in which is like a flashback on its own haha and it's also important that you simplify as much as possible to get the exact answer.
Product rule ex:
(3x-2x^2)(5+4x)
(3x-2x^2)(4)+(5+4x)(3-4x)
12x-8x^2+15+12x-20x-16x^2
Dx=-24x^2+4x+15
Quotient rule ex:
5x-2/x^2+1=(x^2+1)(5)-[(5x-2)(2x)]/(x^2+1)^2
5x^2+5-[10x^2-4x]/(x^2+1)^2
5x^2+4x+5/(x^2+1)^2
No comments:
Post a Comment