For the function f(x) = -sin (x - 3Pi/2). What is the amplitude, period, and the graph?

Q: Find the point on the graph of f (x) = (9x + 8)/æ + 5x (x > 0) at which the tangent line is…

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Q: he derivative of f(t) is given by the following function: (9-9x^2)/(e^x+1) when will the number be…

A: The derivative of the function is given as, f'(x)=9-9x2ex+1 For extrema, we need to solve f'(x) = 0…

Q: 10- Based on the graph above, determine the amplitude, period, midline, and equation of the…

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Q: For the given function, find the first derivative f' f(x) = e* · (3 sin x + cos x) + 4x3

A: Differentiate both sides of the equation, with respect to x using the product rule of derivative to…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. x-5 f(x) = 6x-1…

A: Here given that f(x)=x-56x-1 We have to find f'(x) and also we have to find the equation of the…

Q: Find the derivative of the function

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Q: Consider the function f(x) =3 on the interval [1,5]. A graph of the function appears to the left.…

A: SOLUTION-

Q: given the function f(x) = x² – 3x + 1. Use this function to find The equation of the tangent line to…

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Q: For numbers 11-15 Given the function f(x) = cos(5x), 0<x< 2n 11. Determine the first derivative.

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Q: given the functions f(x) = -x^2 -2x + 5 and h(x) = 2/x+9, find a.) f'(x) = f(x+h) - f(x) / h b.)…

A: Given fx=-x2-2x+5hx=2x+9 a.) f'(x) = f(x+h) - f(x) / h b.) g'(x) = g(x+h) - g(x) / h c.) consider…

Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

A: The given question has been solved in detail

Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given : fx=-3x+1 ; x=1, x=5 To find : a) the equation of the secant line through the points where x…

Q: f(x) = 2x – 33x +7 Find the derivative of the function above using the definition of the derivative.

A: Given function is

Q: Find the equation of the tangent line to the graph of the given function at the given value o f(x) =…

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Q: Given the function y=x2cos3x. Find the third-order derivative.

A: To Determine: Third derivative of given function:

Q: for the function f(x) = 2 cos(45x)o , determine: the instantaneous rate of change at x = 12. you…

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Q: Find the second derivative(y”) of the following functions and simplify the final results.

A: Given function is, y=1-4ln(arc tanx)

Q: For function, find (a) the equation of the secant line through the points where x has the given…

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Q: dr a) -sin³ x b) sin² x Q7. Find the range of the function y= a) x>0 b) x 3

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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…

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Q: tan(xy) + xy = 0

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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.…

A: Given function is Differentiating both sides , we get

Q: For what value of x does the graph of f have a horizontal tangent? (Use n as your integer variable.)…

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Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin ,…

A: Inflections points are those points at which second derivative is 0.

Q: -1 y = cos –6•x³ - 6·x³

A: Given function is: y=cos-1-6x3 Then we get, cos y=-6x3

Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given f(x)=x2+x, x=3, x=6

Q: Find the second derivative (y") of the following functions and simplify the final results.

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

Q: For each of the given functions f(x), find the derivative (f-1)'(c) at the given point c, first…

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Q: Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of…

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Q: Given the function y = f(x) = /x² + 1 a. Use the first derivative to find the intervals

A: The function is given y=fx=x2+1. a To find increasing or decreasing function. y=x2+1 Take the first…

Q: 5. y = xArctanx - In V1+x

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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.…

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

Q: Let f(x)= e^x^2 . Find an equation of the line tangent to the graph of f at the point the (1,e).

A: Tangent to the graph,

Q: For the following functions, find the slope of the tangent line mtan=f′(a), find the equation of…

A: The given function is fx=x2+x and a=1

Q: Find the derivative, , for y = (x² – V)3 Find the derivative,, for y = csc Find the first and second…

A: Derivative of the following

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= (1 +5x)(3-2x)…

A: topic- derivative and equation of tangent line to function

Q: 1. For the function f(x) = 3x² + 8x – 7, (a). Find the slope of the tangent line at x = 2. . (b).…

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Q: For what values of x does the graph of f have a horizontal tangent? Use n as your integer variable.…

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Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√9x² - 1…

A: We have to find equation of tangent line

Q: Given f(x) = 3 cos² (x), write the equation of the line tangent to y f (x) when 3

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Q: Solve for the derivative of the following and simplify if possible. f(x) = 2 cos x - 6 sec x + 3

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Q: for f(x, y) = sin(O 2- Find the third derivative for

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Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

Q: • Find a formula for the nth derivative of y = 47ª, telling me how you decide what to do at each…

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Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

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Q: For the function f(x) = 10x² – 3x + 5, find the equation of the tangent line at x = 8.

A: We have to find the equation of the tangent line of  f(x)=10x2-3x+5 at x=8.

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: 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