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

Q: 1+sin 2 x 1) Find the derivative of f(x): 2 cos3 x

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Q: A-f cos (x)sin³(x)dx e*cosh (3x) B-J cosh(x)+sinh(x)

A: Here we use use substitution method to evaluate the given integral.

Q: Using the Chain Rule, compute the first derivative of sin T-x.

A: We have given a composite function and we have to find derivative of function by using chain rule of…

Q: Find the minimum value of ∣sin x + cos x + tan x + cot x + sec x + csc x∣ for real numbers x.

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Q: Differentiate: (etan(x)) /(1+x)  Show all working out.

A: Given  etanx1+x. We have to differentiate it. Used formula:- ddxfxgx=gx⋅ddxfx−fx⋅ddxgxgx2 Here,…

Q: Find the derivative f'(x): f(x)=x4-x2+sin-1x/3 **4-x2 is under a radical sign!

A: Consider the given function f (x) taking (4-x^2) under the radical sign. Differentiate f (x) w.r.t x…

Q: 3) f(x) = ln(x5 - cos²x) 5) f(x) = xsinx 4) f(x) = x² 1 + x³ 1 6) f(x) = x¹ tan- X

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Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: Find the slope of the graph of the function at the given point.

A: We have the given function as fx=4x5+3x-sinx          ⋯⋯1 As we know that, slope of a function fx is…

Q: find all critical points of the function g(θ) = sin2 θ

A: Given Now, Critical points are points where the function is defined and its derivative is zero and…

Q: (7) coshx + sinh x = e* %3D

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Q: エ→2 x² -4 1- cos 2x 7) lim X sin x エ→0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: ifferentiate the function: y=(x^4 sin^2(x))^(3)

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Q: Compute the derivative. k(θ) = θ2 sin2 θ

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Sin x3D%=

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Q: 1+sin 2 x 1) Find the derivative of f(x) %3D 2 cos3 x

A: The given function is                                    y=f(x)=1+sin2x2cos3x…

Q: f (x) = cos(x) f(x) = tan(sin(x)) g(x) = In(2x2 + 4x + 3)

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Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: 12. etan 2x sec² 2x dx 13. Jdx/(x²-4) 14. (2x¹-x²) dx / (2x² + 1) 15. f (sec²x) dx/(√(1-4 tan² x))…

A: Given

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

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Q: 1- Find the equation of the tangent to the curve y = 2 sinx+ cos2x at the point x n. 2- Find the…

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Q: 5. Let F(x) : = a sin(3.x) + bx cos(3x). Find constants a, b such that F'(x) = 2x sin(3x) and verify…

A: The detailed solution is given below Thank you

Q: Compute the derivative sin2(x)

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Q: 2. 2. COS X Sinx lim 4x-X

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Q: 1+sin 2 x 1) Find the derivative of f(x) 2 cos3 x

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Q: find the root of 3x +sinx -e ^x=0 using secant method

A: Let us consider the function fx=3x+sinx-ex. We have to use the secant method to find the…

Q: 3. Evaluate f x sin2 (x²) dx.

A: Given I=∫x sin2x2 dx To Find I

Q: 1-cos 2x sin² x limx-0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Differentiate the function y=ln(x5 sin2 x)

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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: lim (x approaches 0) of [sin(5x)cos(6x)]/(x)

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Q: Find the slope of the graph of the function at the given point.                         f(x) = 4x5 +…

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Q: 1-sin x dx 1-cos x 2

A: Introduction :

Q: 2. Determine the derivative of f(x) = sin-'(2x)

A: Topic = Derivative

Q: Find all critical point of the function f(x)= sin^26x+cos6x , 0<x< pi/3

A: Use the graphical approach to determine the critical points for f(x). Plot the curve for f(x).

Q: 3. Prove that: cosh x - sinh x = e¯*

A: Proved Coshx - Sinhx = e-x

Q: 7) f(x) = sin² x+ cos² x %3D Cosx-Sin X Sin X Sinx t cosx

A: Given

Q: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

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Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: find g' g(x)= square root of 1-sin^2(x)

A: The given expression is: g(x)= square root of 1-sin^2(x)I am interpreting it to be as shown on the…

Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: Find the derivative of f(x) = et tan( – 82° + 5a“). - f'(x) =

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Q: Find derivative of: g(x) = sin(x-3x2)

A: Given query is to find the derivative of g(x).

Q: et Lim x-0 +e³-x²-2 sin² x-x²

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Q: Scos“ x- sin' xdx x•sin³ xdx 3

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Q: Find the critical numbers of the function g(x)=8x+sin8x

A: Given data: The expression for the given function is g(x)=8x+sin8x. The differentiation of the given…

Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x

Q: 3 Find the maximum and minimum values for f(x) = - 4-(/2 cos x - V2 sin x)

A: Topic = Functions Maximum value of f(x)=1.5 Minimum value of f(x)=0.5

Q: Find the function f(x) whose derivatives is sin x and whose graph passes through the point (0,2).…

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Q: Compute f sin(cos(x²)) sin(x²)x dx

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