of the followin 1. y Cosh ( log x) 2. y = tan [ Sinh ( 2x+1) ] 3. y = ecothx

Q: Find the derivative y = x tan^¹x − In √√1 + x²

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Q: 7. The following is Enrico's solution when finding the derivative of f(x) = sin (cos? x)). He has…

A: The given function,   fx=sincos2x

Q: -1 4. h(x) = x ( cos 2x ) at x = 0.1 5. f(x) = x Arcsec Vx at x = 2 %3D

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Q: 1. Find the derivative of each of the following: (a) y=e2* ln´(cos x) Do not simplify your answer.

A: We have to find the derivative of the function…

Q: r(0) = tanh-1(cos 0) + cosh(0º)

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Q: 1) Find the derivatives of the following. Simplify your final answers. d) l(x) = tanh-1 x + In v1 –…

A: Part d,Given,           lx=tanh-1x+ln1-x2To find : Find the derivative of the given function.

Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form…

A: Given y=tan-1(4sinx3+5cosx)

Q: y = cos (e*)

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Q: Consider the interesting curve below which is described by the equation cosh(sinh(v))=V1+x?…

A: Question is solved.

Q: 3. Find the derivative y' for each of the following curves/functions. Show all work toward your 12…

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Q: C. Find the derivative of each of the following functions using Differentiations Rule/Chain Rule. 1.…

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Q: 1. f(x) = 3ex +1 2. f(x) = 45x + x45 3. f(x) = 10 sin x + 5 sec x 4. f(x) = x²(2x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 3. Find the derivatives of the following functions. Do not simplify your answer! x² + 3 (a) dx VTx…

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Q: The function f(r) = sinh(r) is one-to-one and so is invertible. Using our rule / formula for…

A: When the inverse of a function y=fx is f-1x then the derivative of inverse is given by…

Q: 6. y= cot Vx2 - 2x -1 7. h(x) = Sin Vx %3D

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Q: 4. Determine the following derivatives without simplifying either before or after. (YOU MAY USE ANY…

A: Using given formula then solve it.

Q: 1. Find the derivative of the following: (Simplify your final answers.) sech h. j(r) = e (Using…

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Q: Y=67€ tanhlt

A: To differentiate the expression, y=6t tanht use the product rule, ddxf(x)g(x)=f'(x)g(x)+f(x)g'(x).…

Q: A fence 8 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A: We need to find shortest ladder that will reach from the ground over the fence to the wall of the…

Q: If z = (x + y)e" and a = 7t and y = 1-ť, find the following derivative using the chain rule. Enter…

A: Given: z=(x+y)ey   x=7t  y=1-t2 To find:  the derivative using chain rule

Q: 1.4.1 Find the derivative of the following functions. a) f(8) = log3(cot 0) + esin 0 cos 0 Vtan r b)…

A: (a) Given information: fθ=log3cotθ+esinθcosθ We know that logab=lnblna Therefore we can write,…

Q: 1. Find dy given the following. Do not simplify your answers. dx 207 tan-(x2 – sinh 2) y = (cosh r)…

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Q: fi fa>= 2 g. %3D 4X+1 3X-2 he fの= Wi fac) = X²+1 X3+1

A: There are multiple sub parts, As per company Policy I have answered first 3 subparts g.

Q: 2x y= Arccos(e)

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Q: What is the derivative of y log b ( cos? (ax) ? Note that a and b are real numbers. A - 2 a log ble)…

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Q: Find the derivative. y = x tanh-(x) + In( V 1 - x²) y'(x) =

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Q: A 13-ft ladder is leaning against a house. The base of the ladder starts to slide away from the…

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Q: sin(x - y¹) 3+ 2x = sin(x

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Q: Find the derivative of y with respect to the given independent variable. y = 4x' log 4x dy (Type an…

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Q: 7. Find the derivatives of the following functions. You do not need to simplify your answers. (a)…

A: We can use the concept of chain rule of derivative in order to solve the given problem.

Q: Consider the following. x2 + y2 = 9 (a) Find two explicit functions by solving the equation for y…

A: The given function is x2+y2=9

Q: Find the derivatives of the following functions. Do not simplify your answer. (1) y=e*+e° +ex (ii)…

A: →Use chain rule of differentiation.→ddxuv = vdudx - udvdxv2→duvdx = udvdx + vdudx

Q: A fence 9 feet tall runs parallel to a tall building at a distance of 3 ft from the building as…

A: We have to find the length of shortest ladder that will reach from ground over the fence to the wall…

Q: The function y is defined implicitly by 4x^3+2xy+3y^2 .Use implicit differentiation to find the…

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Q: Answer all the following questions dy for the function y = x16 dx ] Find the derivative. by using…

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Q: Q3) Find the derivative of y for all functions the following (1) y 0 (sin (In 0) + cos (In 0)) %3D

A: Q3) (1) Differentiate with respect to Use chain rule to find the derivative of y

Q: 9.) Find d'y Given: x +y = 1 dr 10.) Find coen y= 3x- 1

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Q: 5) Find the derivative of h(0) = tan 50. d 6) Find dy (cot y).

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Q: Find the derivative of y=(e^2x)sin(5x)

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Q: I Find the second derivative (y") of the following functions and simplify the final results. 2sin…

A: topic - double derivative of a function

Q: 3 Find the derivative of the following functions. (Answer five only) 1-r= 120--4e-3+e- 2- y = (sin x…

A: differentiate

Q: dy Use implicit differentiation to obtain if given dx -1 e¤¬y + cosh(2x) + tan¯¹ x = π.

A: The implicit functions are represented as: f(x, y)=k, where k is a constant. The explicit functions…

Q: Find an antiderivative for each of the following functions. You can check your work by taking the…

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Q: 1. Find the derivative of the following: (Simplify your final answers.) r(8) = tanh-(cos 0) +…

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Q: 2. Use implicit differentiation to find by doing the following 1. Take the derivative with respect…

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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: