4) Differentiate the function, and simplify the result. w(x) = sin /2r + 1

Q: Find a result by using undetermined coefficients for ý + y = x² + x+sin(2x)

A:

Q: Derive the following function 8. y = tanh-1(sinx)

A: We have to find  the derivative

Q: f(x) = cos* (tan*(sin²(x³)))

A:

Q: Where are the functions f1(x) = ∣sin x∣ and f2(x) = sin ∣x∣ differentiable?

A: We graph f1(x) = ∣sin x∣  using a graphing calculator. We see that, at x=nπ, there are cusps.…

Q: 111. f (x) = sin 8x, (, 0)

A: We have the function f(x)=sin 8x In the point, the x coordinate is missing. To find the value of x,…

Q: Differentiate the function. g(x)  =x Sin(2x)

A: We will use the product rule

Q: Give an equation of the resulting function when y = sin0 is horizontally stretched by a factor of 3.

A: To stretch or shrink the graph in the x direction, divide or multiply the input by a constant. for…

Q: Estimate the error if P 3(x) = x - (x^3/6) is used to estimate the value of sin x at x = 0.1.

A: Given:

Q: Where does the following function have horizontal tangent lines? f(x) = 4 sin³ x +3/3 sin² x

A: The horizontal tangent lines are found when the slope is equal to 0  f'(x)=0 The given function is…

Q: By using the relationship between the hyperbolic sine function and its Ssinh- (x)] = V. inverse,…

A:

Q: Differentiate the function y=sin^2 x

A: Given: y=sin2(x)

Q: culate the derivative of: (8x) COS f(x) = sin-(8a)

A:

Q: Derive the following function 7.y=sin(tan sin2x)

A: As per bartleby guidelines we only give first question answers.

Q: If f(x) = 7 sin(8a)sin-(x), f'(x) -

A:

Q: Estimate the error if P3(x) = x - (x3>6) is used to estimate the value of sin x at x = 0.1.

A:

Q: 3 (a) Differentiate the left-side functions with respect to the right-side ones I+/(1+x³), i) tan…

A:

Q: Simplify the result, find the derivative.

A: To Determine: Derivative of the given function.

Q: (b) Explain that function f(x) = 1 is not perpendicular to sin(x) or to sin(3x), but is…

A: Introduction: The inner product space is a map from the Cartesian product of vectors space V×V to…

Q: Consider the function f(x) whose second derivative is f"(x) = 7x + 10 sin(x). If f(0) f(x)? 3 and…

A:

Q: Can i get help step by step?

A: Given

Q: Consider the function f(x) = sin2 (x) − sin(x), 0 ≤ x ≤ 2π. Find any x-intercepts of f(x) on [0,…

A: Consider the function f(x) = sin2(x) − sin(x), 0 ≤ x ≤ 2π.Find any x-intercepts of f(x) on [0, 2π]

Q: 4. Determine the equation of the axis of the function f (x) = -3 sin (x – 2)- 6

A: Given that: f(x)=-3sinπ4(x-2)-6

Q: The function f(x) = 3 sin(4x)has amplitude________ and period_____

A: Given: f(x)=3sin(4x) The standard form of the equation is f(x)=Asinωx

Q: 2. Use the Intermediate Value Theorem to show that the equation sinx = x – 1 has at least one real…

A: In the question it is asked to calculate real solution of equation sinx = x-1. Also, it is asked to…

Q: find the largest and smallest value of the function y = 3-sin3x

A:

Q: у 3 3x? sin "(2x)+ 2х

A:

Q: Differentiate the function. f(x) = 5 sin2(x) − 8 cos2(x)

A: Given:

Q: Is ƒ1x2= sin-1 x an even or odd function? Is ƒ′1x2 an even or odd function?

A: We have  f(x)=sin-1x Consider any odd function   y=f(x)   Then taking its inverse: x=f−1( y )∴…

Q: Consider the function below. z = sin(x) - sin(y)

A: graph of the given function is as follows  On matching between these options we get  the option e)…

Q: What is the period of the function f(x) = 2 sin x? %3D

A: Given f(x) = 2 sin(1/2 x) Since for any given sine function of form  A.sin(bx) the period is 2π/b

Q: What is the relationship between the domain of a the function y = sin x and the range of the…

A: Topic:- range and domain of trigonometry function

Q: Express the following as an algebraic function of x. sin(arctan(2x) + arccos(2x))

A: Question is solved.

Q: Consider the function f(x) whose second derivative is f''(x) = 9x + 8 sin(x). If f(0) = 2 and f'(0)…

A:

Q: : Use the result of Example 3 to evaluate '피/2 dx 1 + sin x

A: To evaluate the integral ∫0π2dx1+sinx Solution: The given  integral is, ∫0π2dx1+sinx Multiplying…

Q: The derivative of y = 3 cos (V1- x²) + (1-x²) 2 can be written as 3 1–x² sin ( /1-x² ) - (1-x² ) 3x…

A: This can be done as follows:

Q: If f(x) = 6 sin- (x), then f'(x) =

A: We have to find solution

Q: Find the equation of the tangent line to f(x) 16e* cos2(x) at x 4 (Use symbolic notation and…

A: To determine the equation of the tangent line.

Q: Express the following as an algebraic function of x. sin(arctan(2x) – arccos(2x))

A:

Q: differentiate g(x)=sinx cosx tanx

A:

Q: If f(x) 3 tan-'(3 sin(3x)), f'(z) =

A:

Q: ) In(sin(3x +2))

A:

Q: Find a fixed point of x=g(x)=}+}sin(3x). ||

A: Given that                      x=g(x)=12+14sin3x To find a fixed point of the above equation we…

Q: 1. Differentiate each function by using formulas. t cost (b) у %3D COSX (a) f(x) = 1+sinx

A:

Q: Find the inflection points for the function f (x) = 8x + 2 – sin (x) with 0<x< 3T. Express the…

A: The given function f(x)=8x+2-sin(x)

Q: What is special about the functions ƒ(x) = sin-1 (1/ sqrt(x2 + 1))  and g(x) = tan-1 (1/x)?…

A: Given functions are

Q: What do we call the point at x= of the function f(x) = sinx? 2

A:

Q: Differentiate sin(x2 + ex) with respect to x.

A:

Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx