Calculus

posted by .

f(x)=5+(6/x)+(7/x^2), find f'(x).

I haven't done fractions without using the quotient rule im not so sure this would work with quotient rule what do i do?

  • Calculus -

    rewrite as:
    f(x)=5 + 6*x^(-1) + 7*x^(-2)
    The derivative of the first term is 0. For the derivative of the terms with x, multiply the exponent times the coeffecient of the term, the subtract 1 from the exponent.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Let f(x)= 5x ------- x–2 are we supposed to use the quotient rule?
  2. Calculus

    How do I use the chain rule to find the derivative of square root(1-x^2) also, are there any general hints or tips for determining when the chain rule and product or quotient rule should be used?
  3. calculus

    Please help. Applying the chain rule, how do I find the derivative of f(x)=In(e^x-e^-x) (x>0) and then using this answer use the quotient rule to find the second derivative. I cannot do this so any answer greatly appreciated.
  4. Calculus

    y= [(x-3)/(x^2+1)]^2 I know that I would use the product rule on the whole equation inside the brackets. But would i also do the quotient rule bc of the division?
  5. Calculus

    y= [(x-3)/(x^2+1)]^2 find the derivative. I know i would start off with the chain rule. but would i then continue on and use the quotient rule next?
  6. Calculus-Math

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

    Find f''(1/2) using f(x) = ln(1-x). f'(x) = 1/(1-x) * -1 = -1/(1-x) so then using quotient rule: f''(x) = ((-1*-1) - ((1-x)(0))) / (1-x)^2 f''(1/2) = 1/(1-(1/2))^(2) = 4 Is this correct?
  8. Calculus

    Match the rule with the title: ____ 3. d/dx [f(x)/g(x) ]=(g(x) f^' (x)-f(x) g^' (x))/[g(x)]^2 ____ 4. d/dx [f(g(x))]=f^' (g(x))∙g'(x) ____ 5. d/dx [f(x)∙g(x)]= f(x) g^' (x)+g(x) f^' (x) ____ 6.d/dx [x]=1 ____ 7. d/dx [f(x)+g(x)]= …
  9. Calculus

    So, I have a homework question on The Quotient Rule (taking derivitives) and I would like to know if I did it right. Calculate: y=(1/sqrt(x))-(1/(5th root of x^3). My 1st step was to change the sqrt to x^1/2, and the 5th root to x^1/5+^3. …
  10. Calculus

    Quotient Rule: Use the limit definition of the derivative to prove that the quotient rule

More Similar Questions