calc
posted by Anna .
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.
Respond to this Question
Similar Questions

calculus  (derivatives)
Find the derivative of the function f by using the rules of differentiation. F(x) = 3 ã x 
Calculus
Using the derivative definition of f ‘ (x) = (f (x+h) – f (x)) / (h) find the derivatives of the following… 1. f(x) = (2x1) / (x+2) 2. f(x) = sqrt (3x1) 3. f(x) = 3x^4 my answers were: 1. –x+3 2. (3) / [2(sqrt(3x1))] 3. … 
calculus help
Is there any good calculus websites out there that teach every possible derivative there is? 
Calc I
Find the range of y = (3x1)/(2x^2 + x  6) I was going to take the derivative of the numerator and denomenator and then use the quotent rule to find the derivative of the function and find the critical values but I ran into the imaginary … 
Calculus
Find the range of y = (3x1)/(2x^2 + x  6) I was going to take the derivative of the numerator and denomenator and then use the quotent rule to find the derivative of the function and find the critical values but I ran into the imaginary … 
Calculus
find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2 the sqrt is just over t. 
calc
find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2 
Calculus
Find the outside and inside functions of the following to find their derivatives: 1) sqrt(2x+9) 2) cos(cos(x)) 3) tan(x) I already know how to find their derivatives I'm just not exactly sure what parts of the chain rule equation would … 
Math
So I am supposed to solve this without using a calculator: Sqrt[20]/10  Sqrt[10]/Sqrt[32]  Sqrt[0.3125] + Sqrt[3 + 1/5] You can put this into WolframAlpha as is to make it prettier. Answer given is 1/2 * SQRT(5) I really don't know … 
9th grade algebra (completing square)
Can you check the following? A1. (2x + 3)^2 = 25 sqrt(2x + 3)^2 = +sqrt(25) 2x + 3 = + 5 2x + 3 = 5, 2x + 3 = 5 2x = 2, 2x = 8 x = 1, x = 4 {4, 1} A2. x^2 + 14x + 45 = 0 x^2 + 14x + __ = 45 + __ x^2 + 14x + 49 = 45 + 49 (x