At a price of x dollars, the supply function for a music player is q = 80e0.003, where q is in thousands of units. How many music players will be supplied at a price of 175? (Round to the nearest thousand.) thousand units Find the marginal supply Marginal supply(x) = Which is the best interpretation of the derivative? O The rate of change of the quantity supplied as the price increases O The rate of change of the price as the quantity supplied increases O The price at a given supply of units O The number of units that will be demanded at a given price O The quantity supplied if the price increases

Q: Find the (a) true error and (b) relative error of the following: The derivative of f(x) = 2−x at x…

A: For the solution follow the next step.

Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

A:

Q: The U.S. consumption of refined copper (in thousands of metric tons) is given by p(t) = 48t? + 1698…

A:

Q: 18. Find the derivative of the function using shortcut rules. Simplify for extra credit. 7 f(x) = x4

A: Explanation and solutions is given below.....

Q: Find the derivative of the function. h(s) = -27s2 + 9

A: topic  -  derivation

Q: The tangent line to the graph of y = f(x) at the point (9, 20) has the equation y = 2x +2. (a) Find…

A: Use formula of instantaneous rate of change

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

A:

Q: Q1)a) Find line that are tangent the curvex + xy – y? = 1 at the point (2,3) b) By use derivative…

A:

Q: The graph of a function is shown together with the tangent line at a point P. y 2 1 2 Estimate the…

A: According to given figure derivative of given function at point P is equal to slope of tangent Now,…

Q: II. Obtain the required order or level of derivative. 1. y = 3x5 + 4x³ – 4x + 1, find y" 2. f(x)…

A: Solve differentiate

Q: 6. Determine the derivative of the following functions. Do not simplify. (a) y = 2t° +t+ e² 2 (b) y…

A: Given:           (a) y=2t5+t+e2Differentiating with respect to…

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: Given: fx=x22+x4 To find: f'(3)

Q: Find the derivative of the function. F(x) = et dt

A: The function is given as F(x)=∫xx2et4 dt. The Leibnitz rule of differentiation under the integral…

Q: Use three-point midpoint formula to evaluate the first derivative of y = x – 4 at x of h = 5. O…

A: Find the first derivative of y=x3-4 at x=0 using the three-point midpoint formula with h=12.

Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: Given Graph,

Q: The revenue is the total selling price which is given by, R = (number of units) (selling price per…

A:

Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

Q: On a particular day, the power used in a particular state (in thousands of megawatts) could be…

A:

Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: If the slope of a graph of a function is constant at a point, then the slope of the graph of its…

Q: 6. Find the second derivative, f"(x). (6) = f(x)

A: To find  The second derivative of f(x).

Q: Let y" = e* (g(x)) be the second derivative of y = Determine the value of g(X) if X= -4. (Use three…

A:

Q: A ball is thrown straight up with an initial velocity of 112 ft/sec, so that its height (in feet)…

A:

Q: Find the derivative of the function y(x) = n² +r". Assume that n is a positive y(x) = | constant.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

A:

Q: .0 The derivative of x" at x = e is equal to :Select one a. False b. True

A:

Q: Use double derivative method for the function y=x*– 12x³ + 48 x²– 64 x to find i) the extreme…

A: Extreme values are values where function has maximum or minimum value. Concave up can be checked if…

Q: (a) Use the definition of the derivative to calculate the first derivative f'(x) for the function…

A:

Q: ball is thrown straight up with an initial velocity of 144 ft/sec, so that its height (in feet)…

A:

Q: Find the derivative of the function g(t) = et et+e-t

A:

Q: Find the derivative of the given function at a given number 1. y=3x - 2 at f'(1) 2. y=x² -1 at f'(2)…

A: Find the derivatives at points. 1. y=3x2-2 for f'1. Apply derivative law: u±v' =u'±v'.…

Q: Find the derivative of the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: se Richardson extrapolation method to determine the first derivative of f(x) at x = 0.23 for the…

A: Richardson extrapolation f'x=fx+h-fx-h2h Here values at x of function is given and h=.02

Q: What is the first-order derivative of y = x^y?

A:

Q: Find the derivative of the function. y = − 3/(t − 2)4

A: y=-3t-24⇒y=-3t-2-4

Q: Find the derivative of the function. 8. g(s) = 9s2 - 8 Vs g'(s) =

A:

Q: Find the derivative of the function f(x,y) = tan at the point (3, - 3) in the direction in which the…

A:

Q: Find the derivative of the function. h(s) = -2/ 9s² + 2 %3D h'(s) = %3D

A:

Q: The 2nd derivative of a function at point P is 0, and concavity is positive for values to the right…

A: Concavity is positive or negative?

Q: Q5. Using forward, backward and central difference formula, determine the first order derivative at…

A:

Q: On a particular day, the power used in a particular state (in thousands of megawatts) could be…

A: Given that the power used by the function,   Differentiate with respect to “t”

Q: Find the derivative of the function. F(t) = etsin(2t) F'(t) =

A: We can find the derivative as below.

Q: Find the derivative of the function

A: Given,

Q: 7. Find the derivative of the function y = 5² + %3D y = eTextbook and Media Save for Later

A: Given that y=5x+7x3

Q: I'm trying to find the derivative of  y = x * e^x

A:

Q: Let y" = e*(g(x)) be the second derivative of y = Determine the value of g(x) if x = -4. (Use three…

A:

Q: Estimate the true percent relative error for the first derivative of the function, y =[e!n(x)72, at…

A: We can solve this using Central difference formula f'(x) = (f(x+h) - f(x-h))/(2h)     x 0.95 1…

Q: Find the derivative of the function. h(x) = ex + 5

A: First we will differentiate exponential part then we eill differentiate algebraic part

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: