Questions 1-4, use the graph of f (x) = -0.17x³ + 2.21x – 2.04 shown below. 1. *NEW QUESTION* Tell me the derivative (you found algebraically) for the function 1. Sketch the tangent line through point P. 2. DO NOT ESTIMATE use a calculator if you have to 2. Find the average rate of change from P to Q.

Q: 34. f(x) = er+2)

A: Solving using chain rule of differentiation.

Q: (а) (b)

A: To plot the graph for f’(x) and f” (x) consider the graphical meaning for f’(x) and f” (x) for the…

Q: QUESTION 15 The second derivative of the function y= 3x4-20x2, at x = -5 (round your answer to…

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Q: If the slope of the tangent at any point of a function f passing through the point (2,-2) Is e^(-…

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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: Use the definition of the derivative to find the value of f'(2) if f(x)=x'-2x. Then use it to write…

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Q: Q. No. 5. Find the Derivative of the Given functions

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Q: In the left-hand column below are graphs of two functions. In the right-hand columns are graphs of…

A: When function is increasing its derivative is positive but when function is decreasing ,its…

Q: Find the derivative of the function. 4 = 3 + 8cos x

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Q: Find an equation of the curve whose tangent line has a slope of f'(x) = 3x 10/11 given that the…

A: Given is derivative of f(x) we find f(x) so we integrate it.

Q: Question 21 Given the function f(x) = x to the 3rd power -6x + 2, find the value of the first of the…

A: Differentiate wrt x

Q: 23. The slope of the tangent line indicates the rate of change of the function, also called the 24.…

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

Q: Question 20 Given the function fx) x to the 3" power 6x 2. find the walue of the first of the first…

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Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: By the finite difference method f'(x)=f(x+h)-f(x-h)2h                [Second order approximation]

Q: (c) A point P is moving along the curve whose equation is f (x) = lae2x+3. By using second…

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Q: (c) f(x) = e² – x + In(x)

A: To find its local maxima and local minima.

Q: 42. f(x) = In(xeV + 2)

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Q: Find the derivative of the functions . No need to simplify      ( A )   = 3x^-2cosx   B . Log5…

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Q: Given to the right is the graph of the function f(x) =(x² +2)" (dark graph) and its second…

A: Given, fx=x2+2-1 The graph of f(x) and f''(x) is shown as: The equation of a line in point-slope…

Q: Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can…

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Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the given…

A: Given: f(x)=-2x2+7x

Q: I need help with these questions. Please take me step by step

A: The given function is s(t) = –16t^2+96t.

Q: EX. 3 Find the first derivative of the function tabulated below at point 1.5. 1.2 1.5 1.7 0.1823…

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Q: Let f(x) = 12 – x2 The slope of the tangent line to the graph of f(x) at - the point ( - 3, 3) is…

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Q: QUESTION 4 Find the derivative. y =x 5/6 Os,5/6 x1/6 1/5 Ox-1/6

A: Note that  d/dx (x^n) = nx^(n-1)

Q: QUESTION 3 3 Given that f(x) x+1 a) Find f'(x) using the definition of derivative. b) Find the…

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Q: Find the derivative of y = cot^-2(x)

A: Derivative of Apply chain rule to take derivative

Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. Worth 2 questions. 8 8)…

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Q: Question 17 Find the function whose derivative is x(xcosx+2sinx)

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Q: al derivative using your own words.

A: We have to define the directional derivative

Q: Consider the function f(x)=ex and a point x0=2 .    1) Find the truncation error for backward…

A: by taylor series expansion, fx+h=fx+h f'x+h22!f''x+h33!f'''x+Oh4          ...ifx-h=fx-h…

Q: A point P is moving along the curve whose equation is f(x) 6le 2x+3 . By using second derivative for…

A: The equation of the curve is as follows: fx=6e2x+3 The values for x and fx with step size of h=0.05.…

Q: For the below data set can someone show how to determine the derivative at x-3.45 using cubic…

A: The data set given is as follows: x 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 y 20.08 22.2 24.53…

Q: 4. Find the second derivative of the function. Simplify if possible. f (1) = 2+5

A: topic - derivative

Q: (c) A point P is moving along the curve whose equation is f(x) = lae2x+3 . By using second…

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Q: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

A: Given function is  f(x) = x^3+y^3-9  According to Bartley guidelines we can attempt only one…

Q: 3. Find derivative 4 =xe?

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Q: I found the derivative of f(x), I put  f'(x) equal to zero and obtained cosx=-1/2. What is the next…

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. x2 -…

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

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Q: 3 11. fx) I. shown. 12.

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

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Q: se 2. Compute the Derivative of the given function and find the equation the line that is tangent to…

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Q: Question 10. Determine the derivative f'(x) of the following function f(«) %— е 3"(4г — 2) and state…

A: Given f(x)=e-3x(4x-2)f'(x)=ddx(e-3x(4x-2))         =ddx(4x-2)*e-3x+(4x-2)*ddx(e-3x)…

Q: Consider the following. f(x) = x^2/x+7   Find the derivative of the function.   f '(x) =…

A: Given function: Now,

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.