Match the function with its graph. (a) f(x) = x (c) f(x) = Vĩ (b) f(x) = x' (d) f(x) = |x| I II III IV

Q: Find an equation of the line tangent to the graph of f(x) = (5x − 9)(x + 6) at (2,8). The equation…

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Q: f(x+Ax)- f(x) Using the first principle of derivative f'(x) = %3D Ax Ax-0 Differentiate: y 4x - 6

A: Derivative of the function

Q: 3. Find the first and second derivatives of the function f (x) = e¬²

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Q: Find the second derivative. f(x) = 7e−x − 8e−7x f ''(x) =

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. x²…

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Q: Find the indicated derivative. x2 Find f(3)(x) if f'(x) = x2 + 6 f(3)(x) =

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Q: A differentiable function has the value y(-1)=1 and the derivative value y’(-1)=2 approximate the…

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Q: Sketch the graph of the function y=|ln|x||.

A: Given:  Function y=f(x) = |ln|x|| To Find: Graph of function f(x) Concept used: Consider the graph…

Q: 3. lim(5 1) x-0 Q2/ Find the derivative of the function f (x) v4 -x by definition !3!

A: When limit is of the form 00or ∞∞ then L Hospital's rule is used . In this rule, take derivative of…

Q: Determine the point(s) at which the graph of f(x) =  -4x/square root of 2x-1   has a horizontal…

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Q: A function f(x) has derivative f'(x)= 3x²+ 18x. The graph of f has an x- intercept at x = -1. Find…

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Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: shows the graphs of the first and second derivatives of a function y = ƒ(x). Copy the picture and…

A: The graph of y=f"(x) is a linear function. So it is of degree 1.  The graph of y=f'(x) is a…

Q: 10) Using the First Derivative Test, what are the local extrema for the function 5(x)==x²+10 x³…

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Q: 3 + 3x – 5 Find the local maximum by solving the derivative P'(x)=0, – 2x + -- %3D |

A: Given Find out local maximum

Q: Using the criterion of the first and second derivatives, find the graph of the function b) F(x) =…

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Q: The derivative of f(x) = %3D 3. 5' attains its maximum value at r =

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Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: The rate at which a cell absorbs an external signalling molecule x through the cell membrane can be…

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Q: V². Find the derivative of f(x) = In x² +1 %3D x(2r - 1)2

A: Derivative: f(x)=lnx2+1x(2x3-1)2ln(mn)=ln m-ln nln(x2+1)=12ln(x2+1)

Q: poin Find the derivative with respect to x of f(x) = V2x + 6. f' (x) =

A: Given f(x)=2x+65

Q: 8. Using the second derivative test, find the maximum and minimum points for the function f(x)-x*…

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

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Q: ph represents the derivative function f'(x) of a function f(x). rval of increase and decrease of the…

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Q: Find the derivative of f(x)=((e^x)+(x^2))(3sinx+4cosx

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Q: 3. Suppose a car travels at a constant rate of 70 kph for 2 hours and travels 55 kph thereafter.…

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

Q: Find the first and second derivatives of the function. f(x) = x5 − x4 + 7x3 − 8x2 + 4x − 15 f '(x)…

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Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: 8. Using the second derivative test, find the maximum and minimum points for the function f(x)=x*…

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Q: (0. §) Find the equation of the function f whose graph passes through the point and whose derivative…

A: you can clearly understand if you follow the below solution

Q: Find the absolute extrema of the function f(x) = (x2 + 18)273 on the interval[-4,3]. Find the second…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: x +2 1. Determine the value of f- -dx using method of substitution 2 1X +4 x+7

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Q: termine the derivative of the function g(x) In x+ 10 %3D r- 10

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Q: Sketch the graph of the function ? = x3-6x2+12. Using the ff. First derivatives (critical…

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Q: Apply derivatives to determine the critical points of the function ?=?(x−6)².

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Q: The function of position of an object in motion with respect to time is obtained by fa] a.…

A: By integrating the acceleration with respect to time we get the velocity of an object. dx/dt…

Q: derivatives in Column B. 1. f(x) = 4 A. f'(x) = 8x 2. f(x) = 4x В. f'(x) = -4x-2 3. f(x) = 4x² С.…

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Q: [4] For the Basic Absolute Value function f(x) = x, (a) state its slope (derivative) function (b)…

A: The absolute value function, |x| is defined as follows. |x|=xx≥0-xx<0   The graph of |x| can be…

Q: Using the First Derivative Test, what are the local extrema for the function h(x) = 3x3 – 9x2 – 72x…

A: It is given that,              h(x)=3x3-9x2-72x+9we have to find the local extrema of the function.

Q: 5. Find the second derivative of f(x) = arctan(2x"). (You do not need to simplify your answer.)

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Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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Q: The derivative of the function f(x) = -5x? – 16x + 22 by definition of derivatives f(x + h) – f(x) |…

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Q: A function f(x) has derivative f'(x) = 3x²+ 18x. The graph of f has intercept at x = -1. Find f(x).…

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) =    x +…

A: 1)y=f(x)=x+2 y'=1 At (6,4), y-y1=m(x-x1) y-4=1(x-6) x-y-2=0 2) y=f(x)=x-2 y'=1 At (6,4),…

Q: Derivative of g(x)=[(ex+1)/(x+1)]2

A: Given g(x)=ex+1x+12                 =e2(x+1)x+12 We find the derivative by the following method…

Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function

Q: f(x) = 2 Lim f(x+x) - fox) AX f'(x)= 4x40 Lim AXO Lim (x+4x)² - + (x+AX)^2-x²² AX AX x= x + 2x (0x)"…

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Q: 6. Find all relative extrema of the function h(x) = -3x5 + 5x3 using the Second Derivative Test.…

A: Relative maxima and minima