Chain Rule

Use chain rule to find the following derivative:

((t-3)^2) / ((t+1)^1/2)
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

f(t) = (t - 3)^2 / (t + 1)^1/2 = g(t) / h(t)

Using chain rule for quotients which is

f'(t) = g'(t) * h(t) - g(t) * h'(t) / h(t)^2

we get

f'(t) = [2*(t - 3)*(t +1)^1/2 - (t - 3)^2*(1/2*(t + 1)^-1/2)] / (t + 1)

done!
by Level 2 User (1.7k points)

Related questions

1 answer
Given y=sin x/sec(3x+1), find dy/dx
asked Mar 4, 2013 in Calculus Answers by anonymous | 2.3k views
1 answer
Use chain rule to calculate dydx of y = tan (e3x√)
asked Apr 8, 2020 in Calculus Answers by qwertykl Level 2 User (1.4k points) | 1.6k views
1 answer
If y=e^(kx) , (d^(5)y)/(dx^(5)) = ?
asked Sep 20, 2013 in Calculus Answers by anonymous | 1.2k views
1 answer
Find the first and second derivatives of the function. h(x)=(x^2+10)^2(x-10)
asked Oct 29, 2013 in Calculus Answers by jdaa0411 Level 1 User (120 points) | 934 views
1 answer
y=ln[t(t^2+3)^3]
asked May 22, 2013 in Calculus Answers by anonymous | 622 views
1 answer
g(x)= tan3x/(x+7)^4 find the derivatives of the function
asked Mar 26, 2013 in Calculus Answers by anonymous | 2.1k views
1 answer
derivative
asked Oct 15, 2012 in Calculus Answers by anonymous | 1.8k views
1 answer
Is product slope of normal and slope of tangent to a curve -1?
asked Oct 5, 2012 in Calculus Answers by anonymous | 630 views
1 answer
Use the chain rule to compute the partial derivatives of t and s
asked Feb 20, 2020 in Calculus Answers by anonymous | 1.6k views
1 answer
Use chain rule to find dz/dt partial derivatives question
asked Feb 20, 2020 in Calculus Answers by anonymous | 725 views
1 answer
Finding partial derivatives of t and s using chain rule
asked Feb 19, 2020 in Calculus Answers by anonymous | 394 views
1 answer
Chain Rule
asked Nov 8, 2012 in Calculus Answers by anonymous | 673 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. complete the following. 825 use each digit once .make the two smallest 3 digit numbers and two largest 3-digit number (2)
  4. Solve 15 -1(12÷4+1)? (4)
  5. 8:4(5+2) (3)

Most popular tags

87,544 questions
99,732 answers
2,417 comments
484,517 users