calculus

posted by .

find h'(2) given that f(2) = -3, g(2) = 4, f'(2)= -2 and g'(2)= 7.

A. h(x) = 5f(x) - 4g(x)

B. h(x) = f(x)g(x)

C. h(x) = f(x)/g(x)

D. h(x) = g(x)/ 1+ f(x)

  • calculus -

    simply chart it out.
    f(x) g(x) f'(x) g'(x)
    2| -3 4 -2 7

    then plug them into the equations.
    A. (5)-3 - 4(4)
    -15 - 16 = -31

    B. (-3)4 = -12

    C. -3/4

    D. 4/1-3
    = 4/-2 = -2

  • calculus -

    well the chart didn show up right but when x = 2 then
    f(x) = -3
    g(x) = 4
    f'(x) = -2
    g'(x) = 7

    then plug them into the equations.
    A. (5)-3 - 4(4)
    -15 - 16 = -31

    B. (-3)4 = -12

    C. -3/4

    D. 4/1-3
    = 4/-2 = -2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Both x and y denote functions of t that are related by the given equation. Use this equation and the given derivative information to find the specified derivative. Equation:35x^2+20y^2=1 Given that dx/dt=4, find dy/dt when (x,y)=(1/7sqrt2, …
  2. Calculus

    An ant moves along the x-axis with velocity given by v(t)=tsin(t^2), t is greater than or equal to zero. Given that x(t) is the position of the particle at time t and that x(0)=3, find x(2) Find the total distance traveled by the particle …
  3. calculus

    Given the function f(x) = 3x - 9 a. Find the rate of change between the two stated values for x: 7 to 8 b. Find the equation of a secant line containing the given points: (7, f(7)) and (8, f(8))
  4. brief calculus

    I found that c=1 but i can't get the other two questions The velocity of a particle moving in a straight line is given by v(t) = t2 + 7. (a) Find an expression for the position s after a time t . s(t) = _____ + C (b) Given that s = …
  5. Calculus Help

    Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 1), (1, 8) A = ?
  6. Calculus

    Find the slope of the tangent line to the graph of the given function at the given value of x. y=-5x^1/2+x^3/2; x=25
  7. Calculus 1

    Find the instantaneous velocity, using limits, for the given value of t of an object moving according the given equation. a. s(t)=t^2–8t+18 ; t=3 b. 𝑠(𝑡)=1/t^2 ; t=1
  8. Calculus

    Hellp I have a calculus test on Monday 2. Calculate the slope of the tangent to the given function at the given point or value of x a. f(x)=3/x+1,P(2,1) b.h(x)=2/squareroot x + 5, P(4,2/3) ****Full solutions to please because I do …
  9. calculus-add

    (2y-1)dy/dx=(3x^2+1) given that x=1 when y=2 plz show step thanks 2) (a)find the general solution of the equation (x-2)dy/dx+3y(x-1)/(x+1)=1 b)given the boundary condition y=5 when x=-1,find the particular solution of the condition …
  10. calculus

    Consider the given function and the given interval. f(x) = 10 sin(x) − 5 sin(2x), [0, π] (a) Find the average value fave of f on the given interval. (b) Find c such that fave = f(c). (Round your answers to three decimal places.)

More Similar Questions