Calculus

posted by .

Use derivative formulas to find the derivative of the function.
please show your work

h(x)=10^3-25x^6+3x^15

  • Calculus -

    as written,

    h'(x) = 0 - 150x^5 + 45x^2

    If 10^3 should really be 10x^3, then modify as needed.
    Just simple power rule problem.

    does rely on the linearity of the derivative. That is

    if h(x) = f(x) + g(x), then
    h' = f' + g'

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc

    a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx= ?
  2. Calculus

    Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that …
  3. calculus

    Find the derivative of the function. 1. 2x+5/3x-2 2. (1-x)(1+x^2)^-1 Please show work. TYVM. :)
  4. calculus

    Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)
  5. Calculus

    Find the derivative of the function using the definition of a derivative. F(x)=squareroot(1-3x) Please show work for understanding, thank you! :)
  6. Calculus

    Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative Please show me how u got this!!
  7. Calculus

    Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection …
  8. Calculus

    Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection …
  9. Calculus

    Use the function f to solve the following: a) Local minima, local maxima, and stationary points if any. Show work. b)Intervals of upward concavity and downward concavity if any. Show work. c) Inflection points if any. Show work. f(x)=2x+1/x-2 …
  10. Calculus

    Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of …

More Similar Questions