Math: Derivatives

posted by .

Use the shortcut rules to mentally calculate the derivative of the given function
f(x) = −x + (3/x) + 1

After deriving it, I got
-1+(0/1)+0= -1
But this answer is wrong, and I don't know why.
Thank You

  • Math: Derivatives -

    The derivative of f(x) is
    -1-3/x²

    Don't know how you got -1, or what the question really is.

  • Math: Derivatives -

    How did you get the answer? I don't quite understand. Thanks

  • Math: Derivatives -

    If f(x)=g(x)+h(x), then
    linearity gives
    f'(x)=g'(x)+h'(x)
    so
    f(x)=-x + (3/x) + 1
    f'(x)= (-x)' + (3/x)' + (1)'
    =-1 -3/x² + 0
    =-1 -3/x²
    The second term is obtained by the power rule:
    d(1/x)/dx = -1/x²

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    What is wrong with the following reasoning?
  2. calculus - (derivatives)

    Find the derivative of the function f by using the rules of differentiation. F(x) = 3 ã x
  3. math

    I studied derivatives before, but kind of forgot them all, is there a website that gives me an overview of derivatives. What is first and second derivatives, how to find it, all the derivative rules and so on... thank you
  4. Calculus

    I finished this problem but I wanted some feedback because I don't know if it's entirely correct. Suppose that functions f and g and their derivatives with respect to x have the following values at x=2. f(x)=8 g(x)=2 f'(x)=1/3 g'(x)=-3 …
  5. Derivatives- Math

    Can someone explain how to find the derivative of : 1. y= 5^ãx / x And the second derivative of: y= xe^10x For this question I got up to the first derivative and got this y = e^10x + 10xe^10x but I can't seem to get the correct …
  6. Math

    First, give the technology formula for the given function and then use technology to evaluate the function for the given values of x. (Round your answers to four decimal places.) r(x) = 4x2 + 1/4x2 − 1; x = −1, 0, 1, ..., …
  7. CALCULUS HELP

    Find the second derivative for the function 5x^3+60x^2-36x-41 and solve the equation F(X)=0 i got to the second derivative but what do we do next to be able to get one of these answers.. F(x) = 5x3+60x2−36x−41 1. derivative …
  8. Derivatives

    Find the derivatives of: 1. H(x)= sin2xcos2x The answer given is 2cos4x. My question is, how in the world did they get that!?
  9. Math

    I know that I have to apply the product or quotient rules for these problems but I'm not sure why I'm getting them wrong. Please help me! Find the derivative: 1) f(x) = x^6/108 times (6 ln(x) − 1) I got: 6x^5 times 6 ln(x)-1 …
  10. Calculus - Derivatives

    Use implicit differentiation to find the second derivative y'' of the function given. x^2 + 5y^3 = 8

More Similar Questions