2) Suppose the graph of f (x) and the graph of its derivative f'(x) are shown below. Find an equation to the line tangent to y = f (x) at x = 1. f(x) f'(x)

Q: What is the first derivative of s(x)=(7x)3x at x=4?

A: To evaluate s'(4)

Q: 3. FIND THE DERIVATIVE BY THE LIMIT PROCESS OFf(x) = Vx+2.

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Q: Find the equation of the tangent line to the graph of y at (2, 금). Use the limit process in finding…

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Q: How to solve for the derivative of Dy[tan(y)+1/tan(y)-1]? If it's 0, why?

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Q: 4. Calculate the derivative of the given function directly from the definition of derivative y = v2x…

A: Given function is  y=√(2x+1)

Q: HiHtar is THe secoyd derivative OF Y

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

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Q: Show that the derivative of the function sinh -¹ x can also be obtained by letting y = sinh -¹ x and…

A: Soln:To find the derivative of sinh-1x

Q: y = In- e 2x+1

A:

Q: | If In(x² – 3y) = x – y + 3 and y(-2) = 1, find y (-2) by implicit differentiation. y(-2) = An…

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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: find the derivative of y with respect to the appropriatevariable. y = sec-1 5s

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Q: Suppose the derivative of the function y = f(x) is y' = (x- 2) (x + 6). At what points, if any, does…

A: see 2nd step

Q: 1 Find the first derivative given that f(x) = xdx +

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Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

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Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

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Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

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Q: (b) Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y3. dx

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Q: 2.Find the derivative of y = In cosh x. %3D

A: Using chain rule of differentiation.

Q: 2. Sketch the graph of a tangent line of the function f(x) = at x = -1. And then find 1- x the…

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Q: 3) Find the first derivative of y=(In x)"

A: According to our guideline 3 subparts of question or the first question can be answered and rest of…

Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: 3x g(x)=e* In(4x+1) (с)

A:

Q: Suppose that the second derivative of the function y = ƒ(x) is y′′ = (x + 1)(x - 2). For what…

A: For inflection point we must have y" = 0

Q: Suppose that the first derivative of y = ƒ(x) is y' = 6(x + 1)(x - 2)2. At what points, if any, does…

A: Given the first derivative is: y'=6x+1x-22

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation Sin(x+y)=xy, What is…

A: To find the derivative of y with respect to x

Q: Find the derivative of fcx) = en (sinh Cx)) 5

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Q: Suppose that the first derivative of y = ƒ(x) is y'= 6x(x + 1)(x - 2). At what points, if any, does…

A: The derivative of the function y=f(x) is y'=6xx+1x-2. We have to find at what points, if any, does…

Q: 4. Compute the second derivative with respect to x of 3x³ + 8 y : at x = 1.

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Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

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Q: 3. FIND THE DERIVATIVE BY THE LIMIT PROCESS OFF (x) = Vx + 2.

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Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = 1/ln 3x

A: Given:

Q: Find the function ƒ(x) whose derivative is sin x and whose graph passes through the point (0, 2).

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Q: 4 Find the first derivative of y = In X +

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Q: Find the derivative of the function

A: We have to find the derivatives of the function: y=x tan-12x-14ln1+4x2 If two functions are in…

Q: What is the derivative of the function  x^8(ln(x)), and what can I substitute for x to make the…

A: We have to find derivative dy/dx and point where dy/dx =0y is given below:

Q: 19. Find the derivative of 16 = xy using implicit differentiation.

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Q: find the derivative of y with respect to the givenindependent variable. y = log25 ex - log5 √x

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Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

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Q: Solve for the derivative of the function using chain rule. 14. f(x)= 3lnx 15. f(x)= cos(cosx))

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

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

Q: 1 erivative of x²+2

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Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

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Q: Find a function with the given derivative whose graph passes through point P f'(x)=1/x+2, x is…

A: The derivative is given as

Q: Shows the derivative function of: x³  + ln x(3x² + 5)

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Q: So far, you've examined the function y = In x and its derivative, y' = , for large values of x. Now,…

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Q: 8) Find the first derivative of f (x) = sin 2 (x3).

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Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: 2 Use the definition of derivative to find the equation of line tangent to f(x) = 2 through x = 3.

A: