Use a quick approximation to estimate the derivative of the given function at the indicated point. (Round your answer to three decimal places.) ;x = 3 F'(3) : %3!

Q: Find the derivative of the given function. f (x) = sin(ln x)

A: The given function is fx=sinlnx We have to find the derivative of this function.

Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: Find the derivative of the function ?

A: To find the derivative of a given function

Q: Calculate the derivative of the function xe" at the point x = 0 %3D O 1 e O 2e

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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. *sin(x) y = Jcos(x) In(1 + 5v) dv

A: We have used the lagranges theorem to find the derivative of an integral

Q: Find the derivative of the following function. y= sin x + cos x / ex

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Q: Find the derivative of the function below. F(x) = arctan e a*) f'(x) =

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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 each function at the specified value of x. (a) f(x) = sin(Te*), when x = 0

A: f(x)=sin(πex), x=0Formuladdxsin x=cos xddxex=ex

Q: Find the derivative of the following functions:     1. `y=5\ln\left(x\right)`

A: Find derivative

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

A:

Q: What is the derivative of y=e^x?

A: The derivative of a function y=f(x) gives the rate of change of that function with respect to x.…

Q: Find the derivative of the function. F(t) = est sin(2t)

A: Use the chain rule of derivative and simplify.

Q: Find the derivative of the function. y = sin-(cos-(t))

A: Given: y=sin-1cos-1t To determine: The derivative of the given function.

Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

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Q: Find the derivative of the function.

A: Given: f(x)=log2x2x-1

Q: Find the derivative of the following function with respect to x x = sinh2y

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Q: Find the derivative of the following functions:     1. y= 3 ln (x)?

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Q: Calculate the derivative of the following functions.

A: Differentiation of the function helps to find the derivative of the function. Differentiation rules…

Q: Calculate the derivative of the following functions

A: Given: y=x4+cos2x5 for finding derivative of given function, we will use chain rule

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

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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. f (x) = 1/ ( 1+ sec x ) 2

A: Consider the given function, fx=11+secx2 it can be also written as, fx=1+secx-2 now differentiate…

Q: Find the derivative of the following function. y =x° (3- In x®) dy dx II

A: Given function is y=x53-lnx5. To find the derivative of the function. Solution: Power rule of…

Q: Find the (a) approximate error and (b) relative approximate error of the following: The derivative…

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Q: find the derivative of the function.

A: h(x)=xcosx

Q: Find the derivative of the function g(x)=√t-sin (t) dt . Iv

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Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

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Q: Find the derivative of the function. Vs - 1 f(s) = Vs +5 l'(s)=]

A: Given query is to find the derivative of the function.

Q: Find the derivative of the (e) h(x) = e5 sin (Væ) + a° sec ()-

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Calculate the derivative of the following function. y = (secx + tan x)-3 dy dx

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Q: Calculate the derivative of the following function. = (x + 8) (x² - 1))° dy dx

A: By using the following equations we can find the derivative of the given function.

Q: Find the derivative of the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: Find the nth order derivative of the power function y=xm where m is a real number.

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Q: Why is the notation dy/dx used to represent the derivative?

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Q: Calculate the derivative of the following function. y = (3x+ 4) dx

A: y = (3x+4)3  we use chain rule to solve the problem

Q: Calculate the derivative of the following functions. y = etan t

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Q: Find the derivative of the function f(x,y) = tan at the point (3, - 3) in the direction in which the…

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

A: hx=ex8-x+1

Q: Find the derivative of the function. h(x) = ∣x∣ cos x

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Q: Find the derivative of the function. Simplify wherepossible.

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

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Q: Find the derivative of the function

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Q: Find the derivative of g(x) = fecost dt.

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Q: Find the second derivative of the equation below evaluated at y = 1:

A: Given that: The implicit equation 4 e y + x y = 4e.

Q: Find the (a) true error and (b) relative error of the following: The derivative of f(x) = ln x at x…

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

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Q: Find the derivative of the function f(x) = (4x? – a – 4)* at x = - 1. %3D f'(-1) = Pr

A: