y = (5 – 2x) 3 + 1 + 1 %3D 2/3 00

Q: Find the derivative of the function 1 4. y= 4x +8x dy

A:

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx =…

Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

A:

Q: 5. y= 2arctan(vx)

A: We need to evaluate the derivative of the following function y = 2arctanx

Q: Find the derivatives of the functions in Exercise

A: Given function is w=1z1.4+πz. To find the derivative of the functions.Solution: Power rule of…

Q: 3. Find the first derivative of y = (x² – 4x + 1)5. %3D

A: The given equation is y=x2-4x+15. Calculate the first derivative of the given equation. Here we use…

Q: Find the derivative of the function. y= -6x In (5x + 8) dy dx

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Q: Find the first four derivatives of y = 4sinx. %3D

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Q: Find the derivative of the function. 4x +6 y-D y'3D

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Q: find the derivative of the function y=-5(8x^2+7)^-6 dy/dx=___?

A: Given function is :  y = -5(8x2 + 7)-6

Q: Find the second order derivative of ycos³(2x).

A:

Q: Find the derivative of y = (x - 1) 2× + 1 at x = 2.

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Q: Find the derivative of the function. y=e 8x-5 In (8x-5) dy

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Q: Find the derivative of the function y = coth−1 (e2x)

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Q: Find the derivative of the function. 4 y = 3x3 - 13x - x6 dy dx

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Q: 4)* Find the derivative of f(x)= Arcsecr. %3D f'(x) = 4 rv.r* O None of the above O Option 4 f"(x)=:…

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Q: Find the derivative of the function. y = (tan-1(4x))2 y' = %3D

A:

Q: Find the derivative of y= (x+1)^x+1

A: Find the derivative

Q: Find the derivatives of the functions y = 1/xsin-5 x - x/3cos3 x

A:

Q: Find the derivatives of the functions in Exercise

A: Given: y=x2+1x+5+1x Differentiating y with respect to x, dydx=ddxx2+1x+5+1x+ddxx+5+1xx2+1…

Q: Evaluate the derivative of the function. y%3Dsec(6 In 8x) -1(6 In 8x) dy %D dx

A: The objective is to find the derivative of given function

Q: Find the derivatives of the functions y = 2√x - 1 sec-1 √x

A: Given: y=2x-sec-1x we differentiating given function and then simplify it

Q: Find the derivative of the following: y = 3/x. O y' = 3 O y' = VI

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Q: Compute the derivative of y= [(x+1)/x^3-1)]^1/2

A: The given function is y=x+1x3-112. Obtain the derivative as follows.

Q: Find the derivative of the function y = 4x + In(x + 4). dy dx

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Q: Find the derivative of the function. 8 +- +/5 y= 4. dx %3D

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Q: Determine the derivative of y=tan(cos-(4x)). -1 A y'=. 4XV1- 16x2 None of the given choices -1 y's…

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Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

Q: Find the derivatives of function 1–xy x (x.0) 1+xVx

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Q: Find the derivative of the function. y=-6(8x+8)-6 dy/dx=

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Q: Find the derivatives of the functions in Exercis

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Q: Find the derivative of the function.

A: First, we expand using properties of log

Q: Find the derivatives of the functions y = (1 + x2) etan-1 x

A: Product rule (uv)'=u'v+uv' ddxxn=n xn-1ddxex=exddxtan-1x=11+x2

Q: find the derivative of y with respect to the givenindependent variable.

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Q: y = v3 – 2x

A: Giveny=3-2xTo find:The derive of the given equation using delta…

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: Find the given flx), + 2x derivative of function. %3D a+x

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Q: Find the derivative of y with respect to s. y= sec -1(9s5 + 5)

A: To find the derivative of  y=sec-1(9s⁵+5)

Q: Find the derivatives of the functions defined as . y = cos4 x

A: Given function, y = cos4 x

Q: Find the derivative of y = x"+1 + (n + 1)*

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Q: 1 y х — 3 ||

A: Explanation of the answer is as follows

Q: 3. Find the derivative of: y = csch¬(In (sech(sec()))).

A: Note:Two questions submitted simultaneously, kindly upload question 2 separately.

Q: at x= 1

A: 9). Given function is fx=2ex-x. To find derivative of the given function at x=1. Solution:…

Q: Find the derivative of the function. y = -5x In (2x + 9) dy xp

A: Topic = Derivative

Q: find the derivative of the given function y^4=4xy using implicit differentation

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Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

Q: Find the derivative of the function y = csch−1 (1 − x)

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Q: Find the derivative of the function. 3 6. y3= 2 +/3 dy dx

A: The given function is y=9x3-2x2+3x+3.

Q: e2x %3D e2a + 1

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: