Find the extreme values of each function on the given interval. Then plot the function and identify the points where the absolute extreme occurs: c) f(x) = -3x2/3, –1 < x < 1 d) f(x) = sin x.-n/2

Q: Find all the value(s) of x at which f(x)=(25x^3/3)+10x^2+4x−7 has a horizontal tangent line

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Find the actual error when the first derivative of f (x) = sin(2x) at x = 1/8 is approximated by the…

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Q: Given the function g(x) = 2^x , along with the tangent line to the graph at x = 0, may you help me…

A: g(x)=2x  , Tangent line at x=0 Apply definition of derivative g'(x)=limh-&gt;0.01g(x+h)-g(x)hReplace…

Q: Find the approximate value of derivative f′(0) with the step size h for the following function by…

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Q: Find f′(x) and find the equation of the line tangent to the graph of f at x=3.   f(x)=7x/2x

A: Given query is to find the equation of tangent line to f(x) ate x=3.

Q: Find the point on the graph of the function where the tangent line satisfies the given condition…

A: Tangent.

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

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Q: - 3x + 1, x S 4 Find the value k , if the function ƒ (x) = is continuous at x = 4. -kx + 1, x > 4

A: We will find the value of k as following.

Q: Find f′(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given a function 'f' of x and find its first derivative . And also find at x=1 tengent line equation…

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Find the antiderivative of the given function and then the values of x and y to obtain the C. The…

Q: On the graph of f(x)=sinx and the interval [2π,4π), for what value of x does the graph cross the…

A: The given function is fx=sinx. Calculate the interval [2π,4π), for what value of x does the graph…

Q: let f be a function whose derivative is given by f'(x)=( x/15) +sin(e^0.2x) . How many relative…

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Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-7 f(x) = 9x -4…

A:

Q: Given function f, find the slope of the tangent line to the graph of f^-1 at the specified point on…

A: The given function is

Q: Given f(x) = - x² – 3x + 2, a) Use the second derivative test to classify the local extrema of f(x).…

A: We use second derivative test in part a to find local maximum and minimum  for absolute maximum and…

Q: Find where f (x) = x7 – 1000 intersects the x-axis; find solution to correct in 8 decimal places.

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

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Q: Find k such that the line is tangent to the graph of the function  Function: f(x)=k square root x…

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Q: 1. Given the function f(x)=(1+x*)*, find f'(). (to three decimals accuracy)

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Q: Given the function of f(x)=sinx- cosx at x = 2 and h = 0.5 What is the value of f(x;)? 0.33254…

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Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of…

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Q: On the graph of f(x) = tanx and the interval [ − π, π ), for what value(s) of x does f(x) = 1?

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Q: In the given equation/s as follows (a) find the critical numbers of f, if any, (b) find the open…

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Q: Find the range and domain of the functions (1) f (x, y) = sin-(y-x)

A: We'll answer the first question. Since the exact one hasn't specified. Please re-submit the question…

Q: Find the x-value(s) on the graph of the function at which the tangent line has the given slope. (a)…

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Q: Sketch the graph of the following function and determine whether the function has any absolute…

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Q: Find the absolute maximum and minimum values of f onthe given closed interval, and state where those…

A: Given function is

Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line.…

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Q: Let f(x) be defined by f(x) = 3x² + 5x + 2. Find the slope of the tangent line to the curve y = f(x)…

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Q: The range of the function f(x)=2- sin 1x is: X, O a. [-1,3] Ob. [-2,2] Oc. [-3,2] O d. [1,3] O e.…

A: According to question given :f(x)=2-sin-1xWe have to calculate the range of the function.

Q: Find the absolute Extrema of given Function, on given interval and state where those values occur.…

A: here we have to find absolute Extrema of the given function,  f(x)=x2+1x+1.............(1)   ;…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given,           fx=x2-x4 ; x=1To find : Find f'x and find the equation of the tangent line at the…

Q: On the graph of f (x) = sec x and the interval [-2x, 0), for what value of x does f(x) = 1? Choose…

A: We need find value of x for which secx=1 in the interval -2π≤x&lt;0

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given:    f'(x)=3(2x−9)2,  5,32

Q: Find the slope of the tangent line to the graph of the given function f (x) = 4x³ at the point (2,…

A:

Q: The derivative of the function f is defined by f'(x) = x? – 5x + 5 cos (3x? – 3x). If ƒ(-2) = –4,…

A: Given: f'x = gx = x2-5x+5cos3x2-3xf-2 = 4------------------------------Aim: To find absolute maximum…

Q: Q2: By the false position method, find approximation value of the root for f (x) = ex – 2 with e…

A: Consider the given function. fx=ex-2 The false position method is defined as,…

Q: Find all absolute maxima and minima for the function y = x + sin(x) on the interval [0, 27].

A: Given function y=x+sinx    ;  0 , 2π

Q: 1. For the function f(x) = 3x? + 8x – 2, (a) Find the slope of f(x) at x = 3 | (b) Find equation of…

A: According to the bartleby guidelines, for more than one questions asked, only the 1st question…

Q: Given f"(x) = x(2x-3), find f(x) if the point (2,7) is on the curve y=f(x) and the slope of the…

A: Simplify f''(x):f''(x)=2x2-3x

Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line.…

A: topic - derivative of a function and point of horizontal tangent line

Q: f(x) = In(x² + 1)

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Q: The derivative of the function f is given by ƒ'(x): = e¯* cos(x²), for all real numbers x. What is…

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Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…

A: Solution is done in step 2

Q: On the graph of f(x)=sinx and the interval [2π,4π), for what value of x does the graph cross the…

A: On the graph of f(x)=sinx and the interval [2π,4π), for what value of x does the graph cross the…

Q: On the graph of f(x)=sinx and the interval [−2π,0), for what value(s) of x does the graph cross the…

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Q: Find the absolute extrema of the function on the closed interval.

A: Given:   f(x) = sin x,       on  56, 116Since…

Q: On the graph of f(x) = sin x and the interval 0, 27), for what value of x does the graph cross the…

A: f(x) = sinx Any Function crosses the x- axis when its y- value becomes 0