(a) y (b) (c) (d) I II II IV 이

Q: 2h lim h→0 h(/2x+2h+/2x)

A: Given, limh→0 2hh2x+2h+2x The definition of derivative is given by fx=limh→0 fx+h-fxh

Q: Please provide me with the solution to this problem. Please show the work and try to dumb it down so…

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Q: 1) Find the derivative of y =-+x-1 %3D

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Q: Find derivatives of the function defined as follows.

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Q: Find the derivative. y= In x+3 %3D

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Q: Find the derivatives of x^ x (x>0) with respect to x, find first principles

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Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: Give an example of a function f (x) that has one  positive derivatives on the range (−1, 0) and a…

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Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 (1/2)θ

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Q: y = In- e 2x+1

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Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: eリ- + 2y eTy x° +

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Q: Find the derivative of the function. y = (tan-1(8x))2

A: Function y=(tan-1(8x)2 To find the derivative of the given function.

Q: Sketch the graph of a function z = f(x, y) whose derivative fx is always negative and whose…

A: Given that z=f(x, y) fx is always negativefy is always positive

Q: Find the nth-order derivative of the function y=x2cosx.

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Q: Find the derivative of the function.

A: Given: g(x)=arcsin(3x)x

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

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Q: Find a function y=f(x) whose second derivative is y''=12x-2 at each point (x,y) on its graph y=-x+5…

A: The second derivative of the function, y and tangent to the graph of y is given as,

Q: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: Find the derivative of the function. y = 3 tan-(x - V1+x²) II

A: Consider the given function

Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: cosx y =-

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Q: Find the derivatives of the function f(x) from the first principle x*+4

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Q: 1 Find the function whose derivative is (x+1)-

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Q: 1 14) Use the definition of derivative to find dx 3- х.

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Q: Solve for the derivative of y = x(e*) %3D

A: Find your answer below

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: 1, Find the first and the second derivative of f(x): f(x)=x

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Q: (b) Use implicit differentiation by partial derivative to solve for dx of the function 5x + xy 4y.

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Q: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

A: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

Q: Find the derivative of the function y=excosx.

A: we have to find the derivative of the function y=excosx.

Q: Find the derivative of the function. g(x) = 9 + In(x)

A: We have to find the derivative of : g(x)=ex29+ln(x)

Q: The derivative of a function at each point is itself. y=kex

A: To find out the derivative of the function.

Q: Determine the second derivative of the function y=arcsin x2−1 / x2+1.

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Q: Find the derivatives of inverse function: y = sec-1squareroot of 1 + x2 AND…

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Q: Calculate the first derivatives of ƒ(x) = x2/(x2 + 1) and g(x) = -1/(x2 + 1). What can you conclude…

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Q: Find the derivative. y = x In(x) + x

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Q: 3x-4 1. Y= Arctan 4

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Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

Q: Find the derivative of the function. y = etan(8) y' =

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Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: If the function of x, ƒ(x) = · then, the derivative of f(x) is:

A: We will find the derivative of f(x) as following

Q: 13 Find the secord derivative cy") y= x°+3x - when

A: see below the answer submit the q12 with what to do with the question

Q: Find the derivative of the function. y- 27-a

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Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

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

A: Authoring guidelines:…

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: