The phase shift of f (x) tan(2x – n) is : Oto the left n to the left On to the right Oto the right

Q: Use the chain rule to differentiate f(t)=e^(4t sin(2t))

A: Let us take u=4tsin(2t) and f(t)=y, then we have y=e^u

Q: Find the first and second derivatives of the function. g(t) = 2 cos t - 3sin t

A: We find the first derivative

Q: 10. How is the phase shift related to the algebraic function? What does it represent in terms of…

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Q: by s-differentiation find L (t cos3t) = %3D s2 (s² +9) s2-3 .b O (s2+3)2 s2 (s²+9)2 s2-9 (s2+9)2

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Q: 5)y= (1-メ) draw the function using the graph Of a x3 se con d derivatives, twist points. n formation…

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Q: Q3:- A. Find the Gamma function of [(1) using definition

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Q: Find the phase shift of the function y= 5sin(x)+. O down O down 4 up up-

A: Given function is y=5sinx+π4. We have to find the phase shift of the function y=5sinx+π4. Draw the…

Q: shows the graphs of the first and second derivatives of a function y = ƒ(x). Copy the picture and…

A: The graph of y=f"(x) is a linear function. So it is of degree 1.  The graph of y=f'(x) is a…

Q: -4 Find the line 1. f(x) = x³ - 2. f(x) = cos 2 3. f(x)

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Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

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Q: 3. Find the derivative. sh (a)l= - पक) (a) f(x) = x2 cos x +x tan r (b) h(x) = e" (x² + 4x) %3D t2…

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Q: B) Find all of the second derivatives for f(x, y) = (3xy2 + 2xy + x²) In; x²+y² itable graph and…

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Q: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

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Q: . Find the differentiation of the followings using the chain rule: dx2 y = (3 – sin- (r³ + 1))2.

A: Given that y=3-sin-1x3+12. Compute the first derivative.…

Q: Find the derivatives ( for the following: (choose Four only) dx 1.y = u3 -3 , x = 1-5u3 2. y =…

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Q: 6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin…

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Q: 1 y = x²-1 Using differential, draw the function

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: 1. Find a, b, and c such that the function f(x) has a derivative at x=0 and x=2, where: tan-1(x);x…

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Q: 3. Evaluate the derivatives of the following: i. 2t +3 ii. x' sin x iii. In(3x-4) iv. (2x +5)"

A: i. Quotient Rule:  The Quotient Rule for differentiation is given by, Evaluate the derivative of…

Q: 3 - 1 Find the derivative of y = - 3 with respect tox. tan A. 3 x +9 В. + 9 С. 1 x +9 D. x² +9 B.

A: Use given function find derivative

Q: Find the slope of the graph of the function at the given point.                         f(x) = 5 cos…

A: According to the question, we have to find the slope of function fx=5 cosx-9x at the point 0,5. The…

Q: estion 9 Find the derivative of f(z) = 3z13 - 4+1. IDo? la sin (a) f' (x) =}

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Q: Find the finite derivative of a the functions below at x=1: a) f(x) = 4x³-3x²+2x-3 3 b) f(x)==-²/ 3…

A: Concept: The derivative can be represented as f'(x) or ddx(f(x)) Derivative of xn: ddx(xn)=nxn-1…

Q: Find a function of the form y = Asin(kx) + C or y = A cos(kx) + C whose graph matches this one: 4+ 2…

A: From the given figure, it is observed that the The maximum point on the graph is at -1, that is, y…

Q: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

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Q: Differentiate the function. y = (cos(4x))*

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Q: Evaluate in terms of beta function: L (1– 1) dz dr. O-)

A: According to question given:∫01(1-1x)13dxWe have to evaluate the given integral in terms of beta…

Q: Example 7: Find all of the second derivatives for f (x, y) = 3xy2 + 2xy + x2. %3D

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Q: Find the phase shift of the function y = 5cos(x+ right5 O left O left O right

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Q: For the function f(x)=4cotx determine its stretching factor and phase shift, and then graph it for…

A: The given function is f(x)=4cotx

Q: Use the chain rule to find the derivatives of f(x) and g(x) as well as f'(0) and g'(0): f(x) = (2x³…

A: According tp our guidelines we can solve only one question so we are solving 2nd question for you.…

Q: Solve for the derivative of the given functions using the Chain Rule formula. a.) Let f(x) = √(x2 +…

A: Solution

Q: Q1)Find dy/dx for the implicitly defined relation sin(xy^2)=xarctan(y). Q2) Find the first two…

A: Given:sin(xy2)=xarctan(y)Differentiate both sides:cos(xy2)y2+2xyddx(y)=arctan(y)+xddx(y)y2+1Isolate…

Q: 5. Find the second derivatives. f(x) = x cos(x) and g(x) =

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Q: 2 2x +1 Let f(x) =- |- log, (x² + + 1) • (b* - 5b +3)x +c. If f(x)isa tan decreasing function of x…

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Q: The phase shift of the function y = 5sin 4(0+30°) is 5 30° -30°

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Q: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

A: Given

Q: Enter the equation of the function cos(x) that has a vertical shift of 4 units up, and a phase shift…

A: Phase shift is horizontal shift and vertical shift is the change in y

Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. Use the results to write a general…

A: Given:fx=cos xxn for n=1,2,3,4Formula:ddxuv=vu'-uv'v2

Q: Question1. Find the derivative w.r. tx. i. f(x) = Cos (3V) (using chain rule) %3D

A: To Determine: find the derivative Given: we have fx=cos23x  Explanation: we have a function…

Q: Determine the phase shift and vertical shift of the function. 4) y = -4 sin x -3

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Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

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Q: Q1) Find the derivative a) f(x) = arctan (e-2x) b) f(x) = [arcsin (2²)]³ C) f(x) = tan (lnx) + 52²

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Q: Find the first derivative of y=tan? (3x²-4). A) x tan (3x²-4) B 12x tan(3x2-4) sec²(3x²-4) (c) sec?…

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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: Vx-5 a) Find the derivatives of the given function f(x) = ln- %3D 1-x

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Q: IV. Find the derivatives of the foll 1. y=-10x +3 cos x 2. y xcos x

A: 1. y=-10x+3 cosx2. y=x2cos x3. y=sec x+tan xsec x-tan x4. drdθ if r=secθ cscθ

Q: what is the phase shift and streching factor of f(x)=6 cot x

A: f(x)=6 cot x Here amplitude is 6 and no phase coefficient and phase shift.

Q: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

A: Given:     f(x) = cos ( x - 2π ) +3

Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2…