# calculus

posted by .

find the derivative of (x^2+1) 3rd root of x^2+2

• calculus -

If you mean (x^2+1) * (x^2+2)^(1/3) then just use the product rule and chain rule.

y = u*v^n
y' = u'v^n + u*n*v^(n-1)*v'

u = x^2 + 1
u' = 2x

v = x^2 + 2
v' = 2x

y' = 2x*cbrt(x^2+2) + 2x*(x^2+1)* 1/3 * (x^2 + 2)^(-2/3)

Feel free to simplify further. You're doing calculus; algebra should be a breeze.

## Similar Questions

1. ### math, calculus

find the derivative of the function y= integral from square root of x, to x cubed of (square root t * sin(t))dt
2. ### Calculus

find derivitive of 1/square root of x 1/square root of x = x^(-1/2) The derivative is -1/2 x^(-3/2) can you keep going on the problem to not have negative exponents?
3. ### Chain Rule

Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x ã3x …
4. ### Calculus

Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x ã3x …
5. ### Calculus

Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x /3x …
6. ### Calculus/Logarithms

Find the derivative of f(x) = (square root of x)(ln x). Using my notes, I came up with f'(x) = (1/2*square root of x)/x The answer in the back of the book says f'(x) = (2+ln x)/(2*square root of x). Can someone please explain how?
7. ### Calculus

How do i find the derivative of f(t)= 20- 30/rooot 9 + t^2 heres how i did it f'(x)= 20' - 30/root(9+t^2) ' = 0 - 30/root(9+t^2) ' (Quotient rule) f'(x)= 30' (root(9+t^2) - 30(root(9+t^2) ' f'(x)= -30(0.5(9+t^2)^-0.5) (2t) the answer …
8. ### Maths Calculus Derivative Integral - Urgent Please

Use 2nd Fundamental Theorem of Calculus to find derivative of f(x) = integral of 2x^2 (at the top) to x-5 (at the bottom) of square root of Sin(x)dx
9. ### calculus

6. What is the derivative of y = square root of 3x ?
10. ### Calculus I

Find the derivative ** (sq root) y = (square root) x + (2nd sq root) x + (3rd sq root) x ** All the x's is under three sq roots y' = 1/2(sq rt) x + 1/(sq rt) x + 3/2(sq rt) x Is this right?

More Similar Questions