posted by .

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 at the back of the book is 30t/(9+t^2)^1/2.... but i don't knohow to get it.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1-x These are my answers, but I am not sure about them and I only figured out one domain... that is the part that …
  2. calculus

    6. What is the derivative of y = square root of 3x ?
  3. 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?
  4. Algebra

    Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed …
  5. Math simplifying mixed radicals

    Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed …
  6. college pre-calculus

    simplify: square root (4/3)-square root (3/4) A. 2-sqaure root(3)/2 square root (3) B. square root (7/12) C. square root (3)/6 D. 2/square root (3) which answer?
  7. maths surds please help and explain

    Simplify A.1/root a +2 b.root 18/25 c.root a x cubed root a d.root x + 2 root y/root x-2 root y e.root5 x root72 /root 3
  8. Pre-Calculus

    Solve. Express your answer as exact roots. (s+6)^2 = 3/4 Sq root (s+6)^2 = +-sq root 3/4 (s+6) = sq root 3/ 2 s = -6 +- sq root 3 ----------------- 2 (The answer according to the textbook is (-12 +- sq root 3)/2. What error have I …
  9. math

    find a and b for the following:- 1).(root of 2+root of 3 / 3 root of 2 - 2 root of 3) = a+b root of 6 2). {(root of 5 - 2/root of 5+2)-(root of 5+2/root of 5 - 2)} = a+b root of 5
  10. Calculus

    A rectangle is bounded by the x axis and the semicircle = square root 25-x^2. What length and width should the rectangle have so that its area is a maximum?

More Similar Questions