Derivatives are Very Confusing.
2007-10-23 20:13:56 · 3 answers · asked by Conservative Jesus 1 in Science & Mathematics ➔ Mathematics
sheesh!!!
Franklin, How did you solve the problem so fast?
2007-10-23 20:24:13 · update #1
u = (x^3 + x)
v = e^5x
The chain rule says that the derivative of u*v = u'v+uv'. The apostrophe is pronounced "prime" and means "derivative of". This is for any u and v by the way. So let's find u' and v'...
u' = 3x^2 + 1
v' = 5 * e^5x
Therefore the derivative of u*v is: (plugging in for u,u',v,v')
(3x^2 + 1)(e^5x) + (x^3+x)(5e^5x)
Which can be simplified as:
e^5x * (5x^3+3x^2+x+1)
There you go!
2007-10-23 20:41:44 · answer #1 · answered by Anonymous · 0⤊ 0⤋
y'=e^5x(5x^2+3x^2+5x+1)
2016-10-05 09:18:04 · answer #2 · answered by Tsar 1 · 0⤊ 0⤋
((x^3 + x) * e ^5x * 5) + e^5x *( 3 x^2 +1)
2007-10-23 20:20:53 · answer #3 · answered by Adobe 3 · 0⤊ 0⤋