Identify and sketch the domain of sin-1 (y – 2x) V1- x f(x,y)

Q: Examine the differentiability of the function f(x)=|cosx| at z 2 %3D

A: Given: f(x)=|cosx|

Q: -х- 2, х<-1 -1, f(x) =. -1sx< 0 at x = -1, 1, 0 sin(2tX), 0<x<1 X, 1s x

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Q: Determine the local extrema of the function f(x)=sinx−cosx on [0,2π].

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Q: Consider the function f(x) whose second derivative is f''(x) = 3x +4 sin(a %3D If f(0) = 3 and f'(0)…

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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: (a) f(x) = sin(x) X at x = 0.

A: a.the function is not defined at x=0. The function has right hand and left-hand limits same and…

Q: Differentiate the function. f(x) = sin(x) In(4x) f'(x) =

A: ddxu(x)v(x)=v(x)ddx(u(x))+u(x)ddx(v(x)) ddx(sin(x))=cosx ddx(ln(ax))=aax=1x…

Q: Perform error analysis of approximation derived (a) 1 x² 1 - at xo = 0 X (b) sin (₁) ₁ X- at x = = 0…

A: Given that: a 1x2-1 at x0=0b sin xx-1 at x=0c exp x2-1 at x=1 and x=-1 The objective is to analyse…

Q: Identify and sketch the domain of sin-'(y – 2x) V1- x f(x, y)

A: Given f(x,y)=sin-1y-2x1-x

Q: Qs:- Prove that fez) = cx-g') + ( are harmonic function of (xy) ,but not hormonic conjugates.

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Q: Consider the function f(r) whose second derivative is f(z)- 8z+10 sin(r). If/@)- 4 and f'0)-4, what…

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Q: Find the directional derivative of f(x, y) = x² sin(2y) at (1, 7/2) in the direction of ở = 3i– 4j.

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Q: Find the absolute extrema of the function on the closed interval.                    f(x) = sin 2x,…

A: Approach: Without wasting any time, take the derivative of the original function. Find critical…

Q: Differentiate the function.   f(x)  = Sin (In x)

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Q: What is the minimum value of f(0) in the equation f(0) = 3 sin 40? %3D

A: To determine the minimum value of the below function. fθ=3sin4θ

Q: Find f'a) for f(x)= =Sinx 1- Cos X %3D

A: We have to find the derivative of the given function.

Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: Find the derivative of the function at Po in the direction of A. 1- f(x, y) = 2xy - 3y² , Po ( 5,5),…

A: As per our guideline we are supposed to answer only one question you can repost other in next…

Q: Find minimum of sin(x + 3) – sin(x + 1) – 2 cos(x + 2) where a E R.

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Q: Determine whether f(x) is differentiable at x = 0. Show your work. sin(x) cos(x)-1 3x + 1 f(x): = if…

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Q: Differentiate the function. f(x) = sin(7 In(x)) %3D f'(x) =

A: Given function :

Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

Q: Q: Show that the function f(x)=- x sin ,X =0 is continuous at x = 0.

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Q: Find the point of inflection of the graph of the function f(x)=sin(x/2), [0,4pi] (x,y)= Describe…

A: Derivative f'(x) = 1/2cosx/2 and second derivative f''(x) = -1/4sinx/2; To get inflection point let…

Q: Differentiate the function. a) f(x) = sin(In x)

A: Derivative.

Q: 4) f(x) = V1- x² sin-(2x + 1). %3D y 5) tan(x - v) =

A: As per guidelines we have to solve one question  Please repost other questions again

Q: Q! O show th at [x sin'x + V1-x²] = sin'x sin x

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Q: Find f'(x) where f(x) = x*in(#) + (sin(x))".

A: Given that, fx=xsinx+sinxx To find the derivative of this fx=xsinx+sinxx, take the logarithmic on…

Q: antiderivate of y = sin x + 6x2

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Q: Compute the derivative: tan-'(ax) (bx) (a) y = sin='(x²) (b) y = (tan-1 r)³ (c) y = sin

A: (a)   Differentiate the given equation with respect to x, dydx=ddxsin-1x2=11-x22ddxx2=2x1-x4

Q: Find an analytic function whose real part is e-x(x sin y-y cos y )

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

A: Given:

Q: Determine the points in the interval [0, 2π) at which the graph of the function f(x) = √2x + 2…

A: We find point of tangent on given curve.

Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

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Q: Sketch flx) = 2 cos x-Sin 2x , osx<2o

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Q: Find the root of the function f(x)=sin x +xe* between -3 and -4. using secant method ɛ = 0 %3D

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Q: Prove dx dx 1 f ( sec -x+tan –I 2 1 | f (cosecz) %3D Vsin r sin x

A: Apply trigonometric properties to prove the result.

Q: Use the Intermediate Value Theorem to show that f(x) = 2+ sin r 3 tan x has a | (0. ). solution in…

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Q: Sketch the midline and the graph of the function f(x) = 3 – 2 sin (플(-1) %3D

A: Given, The function fx = 3-2sinπ2x-1 We have to sketch the midline and graph of the function.

Q: 9. Find the directional derivative of f(x, y) = 3x² – y² + 5xy at (2,–1) in the direction of -3i –…

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Q: Sketch the domain of the function. f(x, y) - sin 1(x + y) y

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Q: (폭), Let f (x) = x5 sin- Then %3D f'(x) =

A: Given that, fx=x5arcsinx27To find f'(x)

Q: Differentiate the following functions with respect to x (i) f(x) = sin² Vx² + 1 In(x²-3x) sec(7-3x2)…

A: Finding the derivatives of given functions.

Q: Find a value of c that makes Continuous extension the function 9x - 3 sin 3x 5x f(x) = c, continuous…

A: The given function is

Q: find the intergral of f(x) = sin(x) + cos(2x) on the interval [0,pi]

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Q: Hi, I need help with this step-by-step please.

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Q: Differentiate the function f(x) sin(x) In(8x) f '(x)= X

A: We have to use product rule with u=sin(x) and v=ln(8x)

Q: f(x) = x in the %3D sin 2x + ...

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