Each statement can be used to describe the derivative of the function EXCEPT What is the correct answer? I It is the slope of the line tangent to the graph of the function at the point. I It is the rate of change of a function with respect to a variable. I It could refer to the instantaneous velocity of an object. It is the area of the region bounded by the graph of the function and the x-axis.

Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

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Q: Find the derivative of the function.

A: y=(7x+3)4

Q: Find the derivative of the function y = 8t- y (t) = eTextbook and Media Save for Later

A: Given problem:-

Q: Determine the derivative of the following function. Do not simplify.  y = (x - 2)3√2x-1 (sqaure…

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Q: Find the derivative of the function.

A: To Find: The derivative of y=52-x34

Q: Explain in words how to evaluate the derivative of function?

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Q: Find the derivative for each function be low at x=1 a) flac) 6) fla) = 2(x-1)5 %3D Vox2+1) e ) fx) =…

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Q: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

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Q: one leg of a right triangle decreases at 1 in./ min. and the other leg at 2 in./min. What is the…

A: One leg of a right triangle decreases at 1 in./ min. The other leg at 2 in./min. We have to find the…

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: Given that a farmer wants to fence an area of 37.5 million square feet in a rectangular field and…

Q: Find the derivative. (Hint: take the natural log of both sides.) y = x3x

A: We will take log on both side to get the answer.

Q: Graph of derivative of function, f'(x), is given. y= f'(x) 1 5 7 8

A: We know that when f'(x) goes from negative to positive then f(x) will be decreasing and then…

Q: Find the derivative of the function. g(x) = (sech(8x)) g'(x) = %3D

A: take derivative

Q: use the reciprocal rule or the quotient rule to determine the derivative of the function.…

A: Given :Bu=u2u+1To find the derivative of the above function using reciprocal rule or quotient rule.

Q: a. First compute the Derivative of f(x) = x and then use it to find the slope of the tangent line to…

A: Equation of Tangent to a curve: Let y=f(x) be the equation of a curve. Then the equation of tangent…

Q: Determine whether each of the following statements is true or false, and explain why The derivative…

A: Given-  The derivative gives the instantaneous rate of change of a function. To determine- Whether…

Q: farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in…

A: We will solve the problem to find the value of the length and width for minimizing the cost of…

Q: Find the derivative of y = 9" + 2.

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Q: Match the graph of the original function given the graph of the derivative. 1. -10 2. 10

A: Observe the graph and find wheather it is decreasing or increasing with increasing x .

Q: Find the derivative, but do not simplify your answer. 2 3 y = (x + x + 4)Vx – 2/x + 7 -

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Q: Is the function above differentiable everywhere? Explain using derivatives.

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Q: If the first derivative of a function equals zero when x=c, what do we know? Pick the right answer.…

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Q: The derivative of the function f(x) = 3* is 3* Select one: True False

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Q: Find the derivative of the function. g(x) = (sech(7x))² g'(x) =

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Q: Match the graph of the function on the right with the graph of its derivative.

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Q: Find the second derivative of the function. 1+20 (2-0) 20

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Q: 2. Sketch the derivative of the function whose graph is given below. Explain why you drew it the way…

A: We have to draw graph of derivatives function.

Q: Determine whether each of the following statements is true or false, and explain why. The…

A: Answer: False

Q: (# 11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) =…

A: For the equation of tangent, we need to find the slope of the function at x=1.

Q: Find the derivative of g(x) = 6 + 8x4 at x = 1. ANSWER: g (1) = (Again, your final answer should be…

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Q: Match each function with the graph of its derivative. Function Derivative

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 2x-x² a. 2 logz e e*10* c. e*10* + loge

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Enumerate and explain the steps in finding the derivative of this function: y=1/[2*sqrt(x+3)]

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Q: Find the derivative of the algebraic function, please no chain rule! Product/quotient ruels only!

A: Given,         We know that,

Q: The first derivative tells how fast a function is changing. That is, for a function f(x) and value x…

A: Define second derivative

Q: Use a graphing utility (like Geogebra) to find the instantaneous rate of change of: f(x) = 2x at x=…

A: The instantaneous rate of change of a function is the value of slope of tangent at aa particular…

Q: .If f(2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

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Q: The Definition of Derivative

A: Question is solved.

Q: The derivative of the function y=f(x) at the point x=c is characterized as the of the function at…

A: We have to tell what is derivative of function y=f(x) at x=c called ...  a. Slope  b. Point of…

Q: Find the equation of the curve for which the second derivative is 6. The curve passes through (1,…

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Q: Suppose the derivative of the function y = ƒ(x) is y′ = (x - 1)2(x - 2). At what points, if any,…

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Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

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Q: Find the derivative of f(x) = cot^−1(x^2 + 3)

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Q: Find the derivative of the function. Vs -6 f(s) = Vs +6

A: Quotient Rule

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

A: Let length be = x ftlet width be = yftArea = length × breadth13500000 = x × y13500000x = y  —1

Q: The derivative of a function is f '(x) = x2(x + 4). At what value(s) of x does f have a horizontal…

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Q: 3. Draw a line to match the graph of each function with the graph of its derivative Functions…

A: This graph is decreasing first, that means f'(x)<0 first. Then it is increasing. That means…

Q: Implicitly derive all variables in terms of x. Equate the derivative in terms of y'. Simplification…

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