Find the derivative of the function f (x) = Va Then use r 8, that is to say the point (8,2) to find the line tangent to the function at x-8. Use that line to approximate 8.05 to 5 decimal places.

Q: f(x) = cot-1 Vx – 1

A: Given, fx=cot-1x-1

Q: Find the derivative of the function y=(ex−1)(ex+2) and calculate its value at x=0.

A: Differentiating with respect to x, we get

Q: Find the derivative dydx for the function x=sin2t, y=−cost at the point t=π6.

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Q: Find the derivative of the function. anh 2

A: the given equation is

Q: Let f(x) = x² – 4x + 4. (a) Find the derivative of f. (b) Find the point on the graph of f where the…

A: Given function is f(x)=x2-4x+4 then a) derivative of function is f'(x)=2x-4 Derivative of the…

Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: Calculate the derivative with respect to x of the other variable appearing in the equation. √(x+s) =…

A: Given equation is x+s=1x+1s Using the implicit differentiation with respect to x: dx+sdx=d1x+1sdx…

Q: Find the derivative of the function at the given number. f(x) = 3 – 4x + x², at -1 %3D f'(-1) = %3D

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Q: Evaluate the derivative at x = 1 for y = In ()

A: For a function f its derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard functions…

Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…

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Q: . Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. .Find the derivative…

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Q: Find the derivative of the function. F(x) = et dt

A: The function is given as F(x)=∫xx2et4 dt. The Leibnitz rule of differentiation under the integral…

Q: Find the derivative of the function y = x tanh−1(2x)

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Q: Find the derivative of y with respect to X, t, or 0, as appropriate. Inx y=5

A: Given: y=ln xx5 So, the derivative of y with respect to x is: dydx=ddxln xx5 According to the…

Q: find the derivative of y with respect to the appropriatevariable. y = √(s2 - 1) - sec-1 s

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Q: Use the rules of differentiation to find the derivative of the function. y = - cos(0) 8 y' =

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Q: Find the derivative of the function f(x) = coth−1(x2)

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Q: Calculate the derivative.

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Q: or x>0, determine the deriva

A: Consider the given function: Here the objective is to find the derivative of a given function using…

Q: Evaluate the derivative at x = 1 for y = I (

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use forward and backward difference formula with h = 0.1 to approximate the derivative of f(x) =…

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Q: Find the derivative of f(x) = Vx2. What is f'(5), rounded to 3 decimal places?

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

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Q: Find the derivative of the function. f(z) = V - VE f '(x) =

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Q: Find the derivative of the function g(x)= integral  x2  tanx  (1/square root 4+t4) dt

A: Leibnitz integral rule for Differentiation :               ddx ∫α(x)β(x) f(t,x) dt = ∫α(x)β(x)…

Q: Find the derivative of the function below. f(x) = (49 + x)V arctan (ラ) f (x) =

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Q: Find where the first derivative is equal to 0. Er ****. lif

A: Introduction: The concept of critical point is very important in Calculus as it is used widely in…

Q: Find derivative of f ( x ) = x^3 e^x The slope (rounded to whole number) of the tangent line at x=2…

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Q: Find the derivative of the function f(x) = 1+ ex

A: First I have written the formula of quotient rule of derivative, just use the rule for given…

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x)…

A: Find the derivative at the given point

Q: Calculate the derivative of the following functions. y = tan ex

A: Given:y=tanexDifferentiation formula:ddxtanx=sec2xddxeax=aeax

Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: Find the derivative for x+1 a)f(x)=- x-4 b)f(x)= sin' 2x Show the work on your notebook, take a…

A: (a) To find: The derivative of fx=x+1x2-4. Formula used: Quotient rule of derivative:…

Q: Find the derivative of y(x) = (x+3) ¹/2 x+19 (Use symbolic notation and fractions where needed.) dx…

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Q: Find the derivative of the function. y = (x² + 4) coth ) y' = %3D

A: Here we must know : 1) ddxf.g=f . dgdx+ g. dfdx2) ddxxn = n.xn-13)  ddxf(g(x))= df(g(x))dx. dgdx

Q: Calculate the derivative of the function. Then find the value of the derivative as specified.…

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Q: Find the derivative of the function. .2 y = (x + 3) coth 7 y' =

A: Given that: y=(x2+3)cothx7

Q: Use the definition to find the derivative of the function f(x) = Vx +1 and obtain the equation of…

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Q: FIND THE DERIVATIVE OF THE FUNCTIONy=0.6e to the fifth(x) degree

A: The given function "y" is shown on the white board. We need to find its derivative. Before we get…

Q: Find the derivative of the function. f(x) 4. + 2cos x %3D

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Q: 5. f(x)%3D + cos X

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Q: Find the derivative of the function. h(x) ető - x + 1 ets

A: hx=ex8-x+1

Q: Calculate the derivative using the appropriate rule or combination of rules. et f(x) = (e + 2)(x +…

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Q: Find derivatives of f(x) = {x+- 1 and find the line tangent to it when x = 1

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Q: The derivative of x at X = 1 is to I Frue or false 2

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Q: 8. Find the derivative of the function (t)= 3sin(arccost)

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Q: Find the derivative of f(x) = cot^−1(x^2 + 3)

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Q: Find the derivative of the function f(x) = sinh 9x

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Q: Find the first derivative of the function below: f(#) = cosh(cot(z² – 2x – 7)) %3D

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