Posted by Anna on Monday, September 27, 2010 at 9:26pm.
Find the derivatives of the following functions using the differentiation rules.
f(x)=(x^32x^2+x+1)(sqrt(x)3x+9)
I did:
f'(x)=[x^32x^2+x+1][(1/2x^(1/2)3]+[x^(1/2)3x+9][3x^24x+1]
which I got to be
[12x^3+(7/2)x^(5/2)+46x^25x^(3/2)42x+(3/2)x^(1/2)+6]/[2x^(1/2)]
I just wanted to make sure I didn't make any mistakes because the fractions are confusing.

calc  Reiny, Monday, September 27, 2010 at 10:24pm
Your first line derivative is correct, however, I haven't got a clue how you got that last line.

calc  Anna, Monday, September 27, 2010 at 10:29pm
Thats what I got whenever I simplified it
Answer This Question
Related Questions
 Calc I  Find the range of y = (3x1)/(2x^2 + x  6) I was going to take the ...
 Math  So I am supposed to solve this without using a calculator: Sqrt[20]/10  ...
 Calculus  Find the outside and inside functions of the following to find their ...
 Calculus  Using the derivative definition of f ‘ (x) = (f (x+h) – f (x)) / (h) ...
 calc  find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2
 calculus  (derivatives)  Find the derivative of the function f by using the ...
 Calculus  find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2 the...
 calculus help  Is there any good calculus websites out there that teach every ...
 9th grade algebra (completing square)  Can you check the following? A1. (2x + 3...
 Calculus  Find the range of y = (3x1)/(2x^2 + x  6) I was going to take the ...
More Related Questions