# Calculus

posted by .

Find the derivative of the function:
f(x)= xsqrt(x-1)/(x+2)

• Calculus -

f = x√t(x-1)/(x+2)
f' = [(x√(x-1))'(x+2) - x√(x-1)(1)]/(x+2)^2
= [{√(x-1) + x/2√(x-1)}(x+2) - x√(x-1)]/(x+2)^2
= (x^2+6x-4)/(2√(x-1)(x+2)^2)

wolframalpha . com will show you the steps for almost any derivative you can throw at it.

## Similar Questions

1. ### Calculus (Derivatives)

Find the derivative of the function f by using the rules of differentiation. F(x) = x^3 – 4x^2 + 3 / x The sign “/” means divided by (OVER)…this problem looks like a big fraction. I am so lost though because I do not know why …
2. ### Math

how do you solve this I keep trying and I keep getting the wrong answer. I keep getting x=19000 and that is not correct .10=.9(x/15000)+.14[(1-x)/15000]
3. ### Calculus 1 Implicit differentiation

Help please help me understand what i am doing wrong in this problem! x^3+3x^2y+y^3=8 find dy/dx using implict differentiation. The answer is x^2+2xy -------- but i keep getting x^2y x^2+y^2 ----- x^2+y^2
4. ### calculus

PLEASE HELP Find the first and second derivatives of the function. y = e^8ex. I keep getting y' = e^8ex * 8 and its wrong. how do you do this?
5. ### calculus

For x>0 find and simplify the derivative of f(x)= arctan(x) + arctan(1/x). I've done the problem a few times and I keep getting (1)/(1+(x)^2)+(1)/(1+(1/(1/x)^2))(-x)^-2 but something about the answer is wrong and I cannot figure …
6. ### Calculus

Find the third Derivative of f(x)=x(3x-7)^3 The answer is 3x-1134 but I attempted the problem multiple times and I keep ending up with 648x-1134. What am I doing wrong?
7. ### Calculus

Find f(x) so that it satisfies: f'(x)=1/sqrt(x) and f(4)=2. Please show steps I keep getting stuck at the anti derivative and the constant doesn't solve it so I don't know where I went wrong.
8. ### calculus

what is the 2nd derivative of: 1-xy = x-y i get (-y-1)/(x-1) for the first the second i know is (-y-1)/(x-1)^2 but i keep getting (0)/(x-1)^2 please show me the steps i should be taking and if possible what i did wrong
9. ### Derivatives

If g(x) = tan (5x2), then g ′(x) = ?
10. ### Antiderivatives

For the function f, given below, find the antiderivative F that satisfies F(1)=1. f(x)= x^5 -4x^-3 -4 . I keep getting x^6/6 +x^2 -4x + 17/6 . But my answer is wrong My other answer of x^6/6 +4x^-2 +4x + 43/6 is wrong also. They both …

More Similar Questions