Calculus

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). (4 points)

x 1 2 3 4 5 6
f(x) 0 3 2 1 2 0
g(x) 1 3 2 6 5 0
f '(x) 3 2 1 4 0 2
g '(x) 1 5 4 3 2 0

  1. 👍
  2. 👎
  3. 👁
  1. h = g(f(2x))
    dh/dx = dg/df * df/dx * 2
    h'(1) = g'(f(2)) * 3 * 2
    = g'(3)*6
    = 4*6
    = 24

    1. 👍
    2. 👎
  2. i don't know what the right answer is, but 24 was not considered the correct answer

    1. 👍
    2. 👎
  3. df/dx=2 not 3

    1. 👍
    2. 👎
  4. noooooooo

    1. 👍
    2. 👎
  5. 16 btw

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    f (x)={cx+d for x≤2 {-x^2−cx for x>2 Let f be the function defined above, where c and d are constants. If f is differentiable at x=2, what is the value of c+d ? -4, -2, 0, 2, 4

  2. Algebra

    This is the functions practice 1) which table of values does not represent a function? 2) given the function y=2x+3, what output values will result from the input values shown in the table? 3) which values for x and y will make

  3. Calculus

    At x = 3, the function given by f(x) = { x² , x

  4. calculus

    Let f be the function defined by f(x)=2x+3e−5x, and let g be a differentiable function with derivative given by g′(x)=1x+4cos(5x). It is known that limx→∞g(x)=∞. The value of limx→∞f(x)g(x) is

  1. calculus

    Suppose f is a one-to-one, differentiable function and its inverse function f^−1 is also differentiable. One can show, using implicit differentiation (do it!), that (f^−1)′(x)=1 / f′(f^−1(x)) Find (f^−1)′(−6) if

  2. Calculus

    Sketch the graph of a function that is continuous at x=5 but not differentiable at x=5.

  3. math

    Let f be the function defined as: f(x) = (x^2 - 4)/ (x-2) if x≠2 1 if x=2 Which of the following statement(s) about f is true? A. f has limit at x=2 B. f is continuous at x=2 C. f is differentiable at x=2

  4. Calculus AP

    f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f ′(x). What is the value of g ′(0.1)? x 0.1 0.2 0.3 0.4 0.5 f ′(x) 1 2 3 –4 5 The answers are: 1 2 4 cannot be

  1. Calculus

    1. The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value of the function with a Left Hand Sum Approximation, using the intervals between those given

  2. MATH

    Where are the functions f1(x)=|sin(x)| and f2(x) = sin(|x|) differentiable? Use n as an arbitrary integer constant.) f1(x) = |sin(x)| is differentiable for all x ≠______________ f2(x) = sin(|x|) is differentiable for all x

  3. Calculus Please Check my answers

    f is a function that is differentiable for all reals. The value of f ′(x) is given for several values of x in the table below. The table: x -8,-3,0,3,8 f'(x)-4,-2,0,4,5 If f ′(x) is always increasing, which statement about

  4. Calculus

    The rate at which water flows into a tank, in gallons per hour, is given by a differentiable function R of time t. The table below gives the rate as measured at various times in an 8-hour time period.

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