Calculus

Use the quotient rule to find f'(x):

f(x) = [(x+4)(x-5)]/[2x(x+3)]

For the first part...do I put them together?
Can someone please complete this.

  1. 👍 0
  2. 👎 0
  3. 👁 140
  1. I would expand it first to get
    f(x) = (x^2 - x - 20)/(2x^2 + 3x)

    now use the quotient rule

    1. 👍 0
    2. 👎 0
  2. f(x) = 2x^4+x^3-43x^2-60x

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    What is the quotient of −920 divided by 40? Which integer rule determines the sign of the quotient? A) 23; The quotient of integers with unlike signs is positive. B) −23; The quotient of integers with unlike signs is negative.

  2. Calculus-Math

    Complete the table without using the Quotient Rule. Function y=2x^(7/2)/x Rewrite y= Differentiate y'= Simplify y' =

  3. mathematics

    Write a function rule that represents the sentence. 7.6 more than the quotient of h and 3 is w.

  4. Calc

    Differentiate. y = (cx)/(1 + cx) g(x) = 1 + cx f(x) = cx Using the quotient rule: y' = [(1 + cx)(f') - (cx)(g')]/(1 + cx)^2 How do you find f' and g' when there is more than one variable? Having a C and an X?

  1. algebra

    What is the rule called when you distribute and exponent to the numerator and denominator of a fraction? (a/b) squared = a squared / b squared. Thanks for any help. I know it isn't the quotient rule.. but I think this rule does

  2. math

    Determine whether the sign of the product or quotient is positive or negative. Part A the quotient of two negative integers A. positive B. negative Part B the product of an integer and its opposite A. positive B. negative

  3. Calculus (derivatives)

    Find the points on the graph of f where the tangent line is horizontal. x/x^2+25 I know you have to do the quotient rule to find the derivative, but then I do not know what to do after that.

  4. 12th Grade Calculus

    Find d^2y/dx^2 by implicit differentiation. x^(1/3) + y^(1/3) = 4 I know that first you must find the 1st derivative & for y prime I got 1/3x^(-2/3) + 1/3y^(-2/3) dy/dx = 0 Then for dy/dx I got dy/dx = [-1/3x^(-2/3)] /

  1. calculus

    find the derivative using quotient rule F(x) = (x - 7 x sqrt(x)) / sqrt(x)

  2. calculus

    Find the derivative of the function below in two ways. F(x) = (x - 7 x sqrt(x)) / sqrt(x) (a) By using the Quotient Rule. (b) By simplifying first.

  3. Calculus

    I'm having problems with this one. Can't get the right answer. Differentiate the following using the chain rule. f(x) = squareroot(x^2+1)/(3x+1) I know that I can take the whole thing and put it to the (1/2) and differentiate that

  4. algebra

    How do you write the expression for 5 less than the quotient of a number and 2. Here is my answer but the quotient part is confusing me. 5

You can view more similar questions or ask a new question.