QI/ answer of the following 1- Find y" if y= cscx 2- Find if y = 3- Using implicit differentiation to find if ysin(-) = 1- sinx sinx dx ху

Q: Differentiate the following. (a) y = sin(x3) (b) y = sin3(x)

A: For (a), y'=sin x3'     By the chain rule,   =cosx3x3'     =cosx3· 3x2

Q: 3- Using implicit differentiation to find if ysin) = xy

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Q: y = sec² 0 – tan² 0 %3D -

A: Using Trigonometry identity ,

Q: (sinsex + cos ty) = 58 coS xy) = 58

A: Given that: sin(πx)+cos(πy)7=58 Here, there is x and y variable, thus we need to perform implicit…

Q: Find the derivative of the function y = cot^-1 x^2– cos^-1 (x + 1/x – 2). %3D

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Q: y = sin³ x cos x sec 4x y = tan 4x

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Q: Find the 60th derivative of  y = cos(3x).

A: Topic = Derivative

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: 7. y = tan ex + etanāx

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Q: find the derivatives with use of trigonometric functions 4 y = sin 2xcos' 3x tan 2x y = 1- cot 2x 3…

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Q: Find the derivative of the given function: 1. y = -cot (2x) + cot(2x) + 2x 3 secx 2. y = 1+tanx 3.…

A: As per guideline i am supposed to answer only three part of these question please re-post the left…

Q: Find the derivative of the following function. Do not simplify your answer. 1 Y = (3x)sin-( 3x) y' =

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Q: What is the 28th derivative of sinx? A -sinx B -cosx cosx D sinx E) none of the given choices

A: Explained below

Q: (6) Use implicit differentiation to get y`, where + cosh y = e*".

A: Explanation of the answer is as follows

Q: Find the derivative of the function. y = cot (sin(8))

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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

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Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

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Q: dy Use implicit differentiation to find for the equation x tan y = x² – y². dx Do not use the prime…

A: to find the derivative

Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: Find the derivatives of the functions y = 1/sin2 x - 2/sin x

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Q: Let p and q be integers with q> 0. If y = x°, differentiate the equivalent equation yª = x°…

A: To show that the formula is true,

Q: Find the derivative of the function. y = sin−1(6x + 1) y' =

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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Q: Find the derivative of the given function: 1. y = --cot3(2x) + cot(2x) + 2x 3 secx 2. у %3D 1+tanx…

A: We have to find derivative Cot x = -cosec² x  Tan x = sec² x Cosec x = -cosec x cot x

Q: Find the derivative of the function. Simplify where possible. y   = Cos-1(Sin-1t)

A: y=cos-1sin-1t

Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

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Q: Implicit DiffeYentia tion Find dy if +Sin xy Find dy if 2X- 3y=8 Use implicit differentiation to…

A: We have to differentiate the given expression.

Q: (a): Find the first order derivative for the following function: 1+cosecx y = 1- cosecx dy (b):…

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Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

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Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that:…

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: y = cot2 sin ( Tan-1

A: follow next step

Q: 10. Y3D3X sin x + COS X

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Q: 8) Use implicit differentiation to find y', given cos(x+ y) = y² sin x

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Q: (b) Use implicit differentiation to find when Sr' + ry - Se'g

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

Q: Find the first derivative of the function 3 cos x y = x? sin(2e*)- ex Show all the works clearly.…

A: The given function is y=x2sin2ex-3cosxex.

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: We have to find and check the answer by differentiation of the indefinite integral: ∫-sec2 x3dx…

Q: 4.Find derivative y=(-2r+2)" cos(r? -1)

A: A function f(x) is said to be differentiable at x=a where a∈m, n, if: limh→0fa+h-fah A function f is…

Q: 5. y = [csc Jarcsin (cos.x)

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Q: Let y be defined implicitly by the equation y + sin(y) = 1 Use implicit differentiation to find the…

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Q: Find y"by implicit differentiation of x3 + y3 = 1.

A: x3+y3=1 ddxx3+y3=ddx(1) 3x2+3y2dydx=0 dydx=-x2y2

Q: 3. It is given that sin(x) + cos(x) tan(y) = 1. Use implicit differentiation to find

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Q: Y = 2 Arccos ( 1 -) + v4x – x²

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Q: a is x3+y3=2xy and b is same equation at point (2,2) sorry if the picture is not clear

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Q: y = k2 (Arc sin) – xvk2 – x² where k is a constant.

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Q: 1. Which differentiation rule is used to show ? -? sin y = cos y dx dx

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Q: 3. Find the equation of the tangent line to sin- (x – 2y) = 2xy- 1 at the point ( 1, ;).

A: We will solve the problem

Q: 33. Зе - х%3D 0, (3,0)

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: