1. A truck that delivers essentials in remote areas can travel 85 kilometers. Which of the following expresses the velocity v as a function of travel time t in hours?

Q: Compute for the derivative of the function below for x = 1, b = 2, and c = 3. f(x) = 72 - 36 3…

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Q: Solve for the derivative of the following composite functions. f(g(x)) = (x + 4)5 1.

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Q: Calculate the derivative of the following functions

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Q: Consider the following function. 2 f(x) = x + , (-2, -3) (a) Find an equation of the tangent line to…

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Q: Differentiate the following function. y = 6 e* (1+3 ex)2

A: To differentiate the given function :

Q: Suppose 8 (x): x(+). what is the derivative of g with respect to x? = sec 1 A8 (x) = 2 B 8'(x)%D…

A: Derivative of function

Q: Differentiate the following function.   y =  ln -2x + 1

A: Given function is y=ln-2x+1. To differentiate the given function. Solution: Chain rule of…

Q: 15 At which point derivative of the function is 0DS (5 Puan) C D E A B

A: Given is the sketch y=f(x).    To find derivative of the function is 0, look for the point when…

Q: 2) The amount of money (in billions of U.S. dollars) that a country spends on research and…

A: Here the amount of money that a country spend on research and development is given as a function. We…

Q: Provide the equation of the line tangent to the given function at the specified point g(x)=ln(x^2);…

A: Given : gx = lnx2

Q: 4. Write the equation of the line tangent to f(x) = (e* +2x +1)In(e* +2x+1), when x = 0.

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Q: Determine the derivative of the following functions. 1. у — (4х — 5) e 2. y = 3x a(5x²–3x+7)

A: 1.

Q: Find the value of the derivative (if it exists) at each indicated extremum

A: Here we have to find the value of the derivative (if it exists) at each indicated extremum.…

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2…

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Q: The derivative of the function 10 is equal to Select one: Oa. 10- In 10 b. 1010 10" (In 10) c. 1010…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Work out the derivative of each of the functions below> a. f(x) = 3 ( x - 5)4 + 121. %3D

A: Hi there, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: Two cars start at the same time and travel in the same direction along a straight road.  The…

A: Given velocity of car A and car B as a function of time t is,

Q: The derivative of the function Is equal to Select one: a. e"(2" In 2 + 1) b. æ(2" In 2 + 1) c. e2²+=…

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Q: 5. Use the data below to estimate the derivative of y at x=1.7: 1.3 1.5 1.7 1.9 2.1 2.3 2.5 f(x)…

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Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x)…

A: The given function is

Q: Find the derivative of function defined as follows.

A: Given :              p(t) = 2t+334t2-1     can be derived by chain rule.       Chain rule states…

Q: Calculate the average rate of change of the given function over the interval [2, 6] f (x) = x² - 9 O…

A: Given function

Q: Find the derivative of the function.

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Q: 213 20 fet)= (9t+3)

A: The given function, f(t)=9t+323

Q: If an object moves along a line so that it is at y = f(x) = 9x² – 7x at time x (in seconds), find…

A: Given : fx = 9x2-7x

Q: find the function with the given derivative whosegraph passes through the point P.39. ƒ′(x) = 2x -…

A: We have to find the function for the given derivative passes through the point P: f'x=2x-1, P0, 0…

Q: Differentiate the following functions. eX+e=* y D .y= 2

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Q: 1. у %3D 4Сot (3 — 2х) |

A: Pls find the solution.

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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Q: Find the derivative of the function.

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Q: Find the derivative of the function m: f(x)= e^x^3+4

A: Topic = Derivative

Q: 2. √√√x + y + xy = 21

A: We have to find out derivative

Q: Find the derivative of the function C=25(11q^5−14)^8.

A: According to the differentiation rule the power comes down and reduces by one and then chain rule is…

Q: Find the value of the derivative (if it exists) at each indicated extremum.         g(x) = x + 4/x2

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Q: 1 4. Use the definition of the derivative to compute f'(x) given f(x) = 2x 3

A: Given,          The function is fx=12x-3 .

Q: The derivative of the function ein(10) is equal to

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Q: From the previous number, compute for the derivative value of the maximum magnitude. A. 20.4861 C.…

A: Find directional derivativeϕ=z sech-1y tan-1ln x in the direction of dx=2dy=-3dz at point e3, 0.5, 4…

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

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Q: Solve for the derivative of the following functions. Write your answer on a separate sheet of paper.…

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Q: Suppose the average daily metabolic rate for certain types of animals can be expressed as a function…

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Q: 1. Complete the following statements, if s(f) is a position or displacement function. a. Average…

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Q: Differentiate the function.

A: Given: y=ex1-ex

Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

Q: Suppose that the velocity v (t) (in m/s) of a sky diver falling near the Earth's surface is given by…

A: Solution of question is written in below steps.

Q: Suppose the average daily metabolic rate for certain types of animals can be expressed as a function…

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Q: What numerical value for A makes the function contnuous at the seam?

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Q: Find the second derivative of the function. s = + 9t + 5

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