11) Find the derivative by implicit differentiation a) xy = x+ y %3D b) Find the derivative by implicit differentiation b)sin(x-y) x sin y

Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5

A: Given 1. y=sin-1(2x2)2. y=tan-1(2x25)

Q: Find the derivative of cos(xy^2) = -3y using implicit differentiation

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Q: Find y" by implicit differentiation. бх2 + у2 %3D 3 y" =

A: Given that implicit function is 6x2+y2=3 To find: y''Solution:6x2+y2=3 Diffranciate w.r.t…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Given equationy sin (16x) = x cos(2y)To find the equation of tangent line at π2, π4The slope of…

Q: Find the derivative of y with respect to the appropriate variable 53. у %3D sec (2s + 1) 55. y =…

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Q: 2. Use implicit differentiation to find tangent at the given point: (a) xy + y² = 3-3x² at (-1,1).…

A: use implicit differentiation, I try to provide typed solution, if it is helpful like it.

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

A: The equation is given by

Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

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Q: 4) Consider function sin(xy) =y a) Use implicit differentiation to find the derivative y'(x) at the…

A: sinxy=y a). Differentiating with respect to x, we get…

Q: Find the derivative of y with respect to x. 1 y = cot 16x² - 1 + sec - 1 2 - 1 4x, 4

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Given,

Q: Əz Assuming that is a differentiable function of and y, use implicit differentiation to find from t…

A: Implicit differentiation

Q: ind the derivative of y=(x-1)(2x-x2)1/2 - arccos(x-1)

A: Given function: y=x-12x-x2-arccosx-1

Q: 3. Use implicit differentiation to find an equation of the tangent line to the curve sin(x + y) = 2x…

A:

Q: 6. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to…

A: By using differentiation. and definition of tangent at point.

Q: Find the derivative of the trigonometric function. y = 3x cos(x) + x6 sin(x)

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Q: 6. y = (x +3x + 2)(x2 +5x + 1)

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Q: Find y' by direct differentiation (with respect to x). y = 10etan(x) and y = (x3 + 4) sin(x)

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Q: 4. Use implicit differentiation to find an equation for the tangent line to the graph of sin(x +y) =…

A:

Q: 7. Use implicit differentiation to find an equation for the line tangent to the curve 2² + 2xy – y³…

A: Given :           x2+2xy-y3=0

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point…

A: To find the equation of the tangent line we need slope of the line. To get the slope find the…

Q: Find the derivative of y with respect to x. -1 2х + 3 26) y = sec" 27) y = -sin-1 (5x2 + 2) 28) y =…

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Q: 1. Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Part 1 : Slope of tangent at (π2, π4) is given by dydx(π2, π4) ⇒y·sin 8x=x·cos 2x⇒ddx(y·sin…

Q: 2. Use the implicit differentiation to find an equation of the tangent line to the curve at the…

A: Given curve ,yesinx=xcosyNow using implicit differentiation , we…

Q: 19. y = sin-1+ cos-1 2 2

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Q: Find the derivative of y with respect to x. 1/9x²-1 + sec -13x, x> y= cot %3D

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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 the derivative of y with respect to the appropriate variable → 49. y = cos '(x²) sin-'V2! 50. y…

A: Solve the following marked questions

Q: Find the derivative of the function: f(x) = [sin(4x + x)] [cos(x4 + 4)] f(x) = e3x²+*(cscx + secx)2…

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Q: 2. Find the derivative of y = tan°(/1 – x²). Make any obvious simplifications. %3D

A: Using chain rule of differentiation.

Q: 6. Find the derivative of function. a) y = (x - 1)ā + 2x2-4x+7 b) y = cos* 3x * arcsin 3x2 |3D 3 c)…

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Q: Question 7

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Q: The derivative of y=sin^{5}x

A: Differentiate using the chain rule dy/dx= dy/du * du/dx

Q: 1.Find the derivative of the function y = cosh*x – sinh“ x - 2.Find the derivative of y = In cosh x.…

A: Q1)   Given  y= cosh4x -sinh4x         As per our guideline we supposed  to answer only first…

Q: sin x.cos x- 8- Find y' for y = In x 9- Use the definition of differentiation to find the first…

A: Given  y=sin x cos x2ln x and f(x)=3x2 We need to differentiate these functions wrt x. This can be…

Q: How do you solve question 10?

A: Given function is  By definition of derivative , we have

Q: Use implicit differentiation to find the derivative in the form dy/dx.

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Q: Find the derivative of y=x?sinx x?cosx +2xsin x 2xcos x x2 sin x+2xcos x x2cosx

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Q: Find the derivative of x^2-xy^2=e^y using the implicit differentiation.

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Q: Find the equation of the tangent line to the curve given by f(x) = x2 ln x at the point  (1, 0)

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Q: Solve for the derivative of the Inverse Trigonometric Differentiation.  1.  g(x) = 3 tan -1 (3x)…

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Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

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Q: Calculate the derivatives of the functions given below. a) f(x) = V(sec x)2 + x lIn(ln x) b) у…

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Q: Find the derivative of y with respect to x. 26) y = sec-1|2x+3 5 26) y = sec

A: We find the derivative using the chain rule

Q: Q2: Apply the differentiation rules to find the derivatives of: 3x- sin x (a) y=e° Chain rule (b)…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 28. Use mplicit differentiation to find an equation of the tangent line to the curve at the given…

A: We know that the expression for the slope of the tangent to the curve is: m=dydx And  The expression…

Q: Solve for the derivative of the Trigonometric Differentiation. 1. y = sin (5x) + 3x cos (5x) 2. y…

A: given y=sin5x+3cos5xdiffrentiate w.r.t. xdydx=ddxsin5x+3cos5xdydx=ddx(sin5x)+ddx(3cos5x)we know that…

Q: Use implicit differentiation to find y′. Then evaluate y′ at ​(−3​,1). x^2+27y3=ln y

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Q: find the equation of the tangent line to the graph of the function y = ln(x^2) at the point (3, 1).

A: