B. Derivatives of Trigonometric Functions Using the formula find- dy dx 7. y= sin In(4x + 3)

Q: b) S sin 2 x cos x dx

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Q: 4- Find dy/dx for: a- y = sec?x – tan²x b- y = sec (– x) c- y = sin(tan(3x))

A: As per our guidelines ,we can solve only first 2 subparts of a question.Please resubmit the other…

Q: B. Derivatives of Trigonometric Functions dy Using the formula find dx 4. y=sin (x² + 3x + 1)

A: This is the simple derivative problem where d/dx (sinx)= cosx is used

Q: 2. Consider y = cos(2x). 2.1. Find Y dx 2.2. Determine an equation for the tangent line at x 0.

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Q: Given that y is a function of x defined implicitly by the equation: siny = 4x + xy Find the first…

A: Given that y is a function of x defined implicitly by the equation  siny=4x+xy

Q: dy (using implicit dx For the function: sin y = 5x + 8, find differentiation ) -5 sec y

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Q: 3r cos(x) 1. Evaluate dx V1+ sin(x)

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Q: 4- Find dy/dx for: a- y = sec?x – tan?x b- y = sec³ ( – x) %3D c- y = sin(tan(3x)) d- y = /1+ sin³…

A: NOTE- Since questions 1, 2, 3, 5 and 6 are incomplete, so solving question 4 only. Please submit the…

Q: 4 Find dx for y = - +7 sin x. X

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Q: Use implicit differentiation to find dx a +y? = 2x+4y3 dy dx (Type an exact answer, using radicals…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: Find the equation of the tangent line to r = sin3θ  at θ = π/6

A: The equation of the tangent line to a curve y = f(x) is: where m is the slope of the tangent line m…

Q: 1 y = 5 sin x + 3 cos x at the point (0, 1/3). The equation of this tangent line can be written in…

A: Here a function is given and we have to find the equation of the tangent line in the form y=mx+b at…

Q: nd the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point x= 7.

A: equation of line at point (a,b)  is given by    y-b = m (x-a)  Where m is the slope of tangent  As…

Q: dy by implicit differentiation. dx 2. Find cos(x) sin(y) = x² – 4y -

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Q: y cos x- sint x %3D

A: Given: Y = cos4x -sin4x

Q: 2. Find equation of the tangent line at the point P given by t = where x(t) = cos (t) %3D y(t) =…

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Q: 4 Find dy/dx for: y = sec?x- tan²x b- y = sec -x) C- y = sin(tan(3x))

A: It is asked to differentiate the following functions with respect to x: a) y=sec2x-tan2x b)…

Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

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Q: 3 T lavi cos x + sin x %3D

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Q: Can you help me with this problem step by step?

A: The given equation is x = cot y.Differentiate both sides with respect to x.

Q: S sin'x·cos'x dx

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Q: Given that y is a function of x defined implicitly by the equation: siny = 4x + xy Find the first…

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Q: 17. Determine the value of fx dy - y dx, where x(t) = (cos 31, sin 3r), 0 ≤ ≤n.

A: The given integral is: ∫X x dy - y dx, where Xt=cos 3t, sin 3t, 0≤t≤π The components of the…

Q: (4) (a) Find dv/dx by implicit differentiation: cot y = x – y (b) Use implicit differentiation to…

A: Take derivative with respect to x and express dy/dx in terms of x & y.

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y =…

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Q: Find by implicit differentiation. dx 4 + 8x = sin(xy') dy Answer: dx

A: see below the calculation and steps below

Q: for the equation dx ecosh-(x) = In(x) sinh-(y) Find %3D

A: Using differentiation of   product rule and implicit differentiation,

Q: 2. Given x³+ y = 6xy %3D dy. a. Use Implicit differentiation to find ? dx b. Find the equation of…

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Q: Find by implicit differentiation. dx 5 + 3x = sin(xy²) %3D dy Answer: dx II

A: 5+ 3x = sin (xy2)

Q: Find the indicated derivative: d/dt [ e^t   ]

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Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

A: The solution for the above question is as shown below.

Q: Use implicit differentiation to determine expressions for dy/dx in the following: i) 5ex2cos y=e2y…

A: Given equations are, i. 5ex2cosy=e2ysinx ii. sin2x-4sinx cosy+tany=0

Q: x³ + y³ + 3 x² siny tan z = 5 az dz and əx Find ду

A: Given,          x3+y3+3x2sinytanz=5

Q: Find by implicit differentiation. dx sin(x? + y?) = xe" – 2r cos(x² + y²) 2y cos(x² + y²) – e'x xp…

A: Given query is to find the derivative of the expression.

Q: 4- Find dy/dx for: a- y = sec?x- tan?x b- y = sec - x) c- y = sin(tan(3x))

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Q: dy by implicit differentiation for each of the following equations. dx Determine 7. x2ey + Iny = x3…

A: Given that      x2ey + ln y = x3

Q: Find the length of the curve  y = 4 ln(cos(x/4)) from x = pi/2 to pi

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Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: 0 sin√xcos√x √x dx is equal to

A: To solve the given integral

Q: dy given the equation xy + cos(x) = y². dx Use implicit differentiation to determine dy dx

A: Given xy+cos(x)=y2

Q: Find dx/dy of the following function using DIFFERENTIATION OF TRIGONOMETRIC FUNCTIONS

A: The above function is a composite trigonometric function. For a composite function y=f(g(x)), the…

Q: 16. S(3 sin 0 + 5 cos 0)d0

A: A detailed solution is given below     ( As per our guidelines, i have to answer only 1st question…

Q: 11) Let r = sin 0. dy (a) Find the derivative dr (b) Use part (a) to find all distinct (r, 0) points…

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Q: a) Differentiate implicitly to find for the equation x cos y = x2 y2 +1 dx %3D b) Find the equation…

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Q: 5 cos(a) sin (x) dx

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 6. Find dy/dx and simplify y sin = - х

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

Q: E valuate dx 7-3 Sin X +6 Cos X

A: solution.

Q: Please show all work

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Q: Given the function In (x +y)+ tan (2xy) y -3x4. Find dy using implicit differentiation. dx

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Q: 3-Use implicit differentiation to find dy 2 B. xx-Cot (xy) y Sin(. ) = L-Xy

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