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 | 1.3k 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) | 712 views
1 answer
If y=e^(kx) , (d^(5)y)/(dx^(5)) = ?
asked Sep 20, 2013 in Calculus Answers by anonymous | 934 views
1 answer
Find the first and second derivatives of the function. h(x)=(x^2+10)^2(x-10)
asked Oct 28, 2013 in Calculus Answers by jdaa0411 Level 1 User (120 points) | 637 views
1 answer
y=ln[t(t^2+3)^3]
asked May 21, 2013 in Calculus Answers by anonymous | 377 views
1 answer
g(x)= tan3x/(x+7)^4 find the derivatives of the function
asked Mar 26, 2013 in Calculus Answers by anonymous | 1.3k views
1 answer
derivative
asked Oct 15, 2012 in Calculus Answers by anonymous | 735 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 | 367 views
1 answer
Use the chain rule to compute the partial derivatives of t and s
asked Feb 19, 2020 in Calculus Answers by anonymous | 841 views
1 answer
Use chain rule to find dz/dt partial derivatives question
asked Feb 19, 2020 in Calculus Answers by anonymous | 451 views
1 answer
Finding partial derivatives of t and s using chain rule
asked Feb 19, 2020 in Calculus Answers by anonymous | 199 views
1 answer
Chain Rule
asked Nov 8, 2012 in Calculus Answers by anonymous | 416 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? (2)
  3. If the Inflation Rate in 1996 was tripled and the House Price Index was only affected by inflation, what would the House Price Index Outside the Capital be starting in 1997? (2)
  4. complete the following. 825 use each digit once .make the two smallest 3 digit numbers and two largest 3-digit number (1)
  5. How do u solve q+d(-2.5q+94.5)=60 using systems of equations? (1)

Most popular tags

algebra problems solving equations word problems calculating percentages math problem geometry problems calculus problems math fraction problems trigonometry problems rounding numbers simplifying expressions solve for x order of operations probability algebra pre algebra problems word problem evaluate the expression slope intercept form statistics problems factoring polynomials solving inequalities 6th grade math how to find y intercept equation of a line sequences and series algebra 2 problems logarithmic equations solving systems of equations by substitution dividing fractions greatest common factor square roots geometric shapes graphing linear equations long division solving systems of equations least to greatest dividing decimals substitution method least common multiple proving trigonometric identities factoring polynomials ratio and proportion trig identity precalculus problems standard form of an equation solving equations with fractions http: mathhomeworkanswers.org ask# function of x calculus slope of a line through 2 points algebraic expressions solving equations with variables on both sides college algebra domain of a function solving systems of equations by elimination differential equation algebra word problems distributive property solving quadratic equations perimeter of a rectangle trinomial factoring factors of a number fraction word problems slope of a line limit of a function greater than or less than division fractions geometry how to find x intercept differentiation exponents 8th grade math simplifying fractions equivalent fractions geometry 10th grade inverse function area of a triangle elimination method story problems standard deviation integral simplify systems of equations containing three variables ratios width of a rectangle percentages area of a circle place value parallel lines solving triangles mathematical proofs circumference of a circle solving linear equations 5th grade math mixed numbers to improper fractions scientific notation problems number of sides of a polygon quadratic functions length of a rectangle statistics zeros of a function prime factorization percents algebra 1 evaluating functions derivative of a function equation area of a rectangle lowest common denominator solving systems of equations by graphing integers algebra 2 diameter of a circle dividing polynomials vertex of a parabola calculus problem perpendicular lines combining like terms complex numbers geometry word problems converting fractions to decimals finding the nth term range of a function 4th grade math greatest to least ordered pairs functions radius of a circle least common denominator slope unit conversion solve for y calculators solving radical equations calculate distance between two points area word problems equation of a tangent line multiplying fractions chemistry binomial expansion place values absolute value round to the nearest tenth common denominator sets simplifying radicals set builder notation significant figures arithmetic sequences median age problem graphing please help me to answer this step by step number patterns adding fractions derivatives radicals trigonometry product of two consecutive numbers roots of polynomials midpoint of a line limits decimals please help pre-algebra problems compound interest divisibility rules graphing functions subtracting fractions numbers discrete mathematics volume of a cylinder simultaneous equations integration angles probability of an event comparing decimals factor by grouping vectors percentage expanded forms rational irrational numbers improper fractions to mixed numbers algebra1 logarithms how to complete the square matrices mean statistics problem analytic geometry geometry problem rounding decimals 5th grade math problems solving equations with variables solving quadratic equations by completing the square simplifying trigonometric equation using identities
87,261 questions
97,770 answers
2,383 comments
16,706 users