calculus

What is the limit definition of f'(x) and use it to find f'(x) for f (x) 5x^2 - 2

  1. 👍 0
  2. 👎 0
  3. 👁 94
  1. [f(x+h)-f(x)]/h as h-->0

    if f(x) = 5 x^2-2
    then
    f(x+h) = 5(x+h)^2 - 2
    5 x^2 + 10 xh + h^2 -2
    -5 x^2 -2

    = 10 xh +h^2
    divide by h
    = 10 x + h
    take limit as h-->0
    = 10 x
    done

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx] Use this definition to

  2. Calculus

    Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous? b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if

  3. Calculus

    For each sequence an find a number k such that nkan has a finite non-zero limit. (This is of use, because by the limit comparison test the series ∑n=1∞an and ∑n=1∞n−k both converge or both diverge.) D. a_n = (

  4. CALCULUS help! =)

    find the derivative of f(x)=3x^2-x using the limit definition.

  1. math

    Use the limit definition of the derivative to find f′(x) if 1. f(x) = x^2 + 3x 2. f(x) = 1/x + 1 now what i am confuse with is that there is no value given for x. So how is one suppose to do these problems. please show steps and

  2. Math

    For the limit lim x → 3 (x3 − 2x + 5) = 26 illustrate the definition by finding the largest possible values of δ that correspond to ε = 0.2 and ε = 0.1. (Round your answers to four decimal places.)

  3. Calculus

    Find the instantaneous rate of change of V with respect to r when r=100 V(r)=.2r^2-20r+600 using limit definition. Please show work for understanding, thank you :)

  4. precalcus

    can someone explain how to evaluate limits? i only learned how to solve the simpler ones that goes to infinity using the 1/x = 0 or 1/n = 0 rule. am i suppose to make the x whatever number they gave me? but then problem b would be

  1. math

    find derivative using limit definition: f(x) = x - sqrt(x) so f'(x) = lim h->0 [f(x+h) - f(x)]/h but I keep trying to solve by multiplying by the conjugate but I can't figure it out..there's nothing that can be cancelled or

  2. Math

    (a) Find the number c such that the limit below exists. Limit as x goes to -2 of: x^2+cx=c-3/x^2+2x (b) Calculate the limit for the value of c in part (a).

  3. Limits

    Prove using formal definition of limit: Lim 2^(1/n)=1 n->ininity

  4. Math

    limit of (x,y)--->(1,0) of ln(1+y^2/x^2+xy)) Find the limit, if it exists, or show that the limit does not exist.

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