Find the derivative of f(x) at the designated value of x (Using Derivative Rules). 3 11. f(x) = x*, at x =5 12. f(x) = at x = 2 4'

Q: 1. If y = x³ + x - 5 then what is the derivative of y with respect to x?

A: Derivative of a function

Q: 3) Find the second derivative of y with reference to x. xcosy = y

A:

Q: Find the derivative of the function. y = In(t2) – arctan 3 y' =

A: It is derivative.

Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

A:

Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: 1. Use the definition of the derivative to find the derivative of the following functions. 1 (b)…

A: use definition of derivative to find the derivative of the following functions a) fx=x+2 it is known…

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: 12) Use the quotient Rule. z+4 Find the derivative of y : 5z – 2

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

A:

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

A:

Q: 2) Find nth derivative of the following function f(x) = ex

A: Given query is to find the nth derivative of the expression.

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: 1. f(x) =In (ta n"x)

A: Given query is to find the first derivative of the expression.

Q: find the derivative of y with respect to the givenindependent variable. y = 2(s2)

A:

Q: Consider the derivative function h (x) = 5x³ + 3x² – 4x + 4. What is the general antiderivative of…

A:

Q: 1) Find the derivative of the function 2 + X y = arctan V 2 – x .Simplify where possible.

A: Answer and explanation is given below..

Q: 1 at x= 4 by using the 2Vx Q2. Find the slope of the tangent line to the function f(x)= definition…

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Q: Find the derivative of the function tanh-e* A. -1/2 csch x B. 1/2 csch x C. -1/2 csch 2x D. -1/2…

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Q: 2. Find the derivative of (x + 1) /x. 3. Given the equation: y = (eln )?, find y'.

A:

Q: Find the derivative of y with respect te X /3 %3D

A: Finding dy/dx

Q: find the derivative of y with respect to the appropriatevariable. y = 6 sinh x/3

A: Given function: y=6sinhx3 Using the common differentiation of hyperbolic function: dsinhaxdx=acoshax

Q: 1) Find the second derivative of f(x)= 24\x . (6) 2) If y = cos x, what is y (x)?

A: To find the derivatives of the given functions.

Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: at x: つ:8ー5x, atx=e

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

Q: Find the derivative of the following using the three-step rule Зх — 1 1. y= 2х+5 2. y=Va? +x?

A:

Q: Find the derivative of y with respect to z. y=5 (2)

A:

Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

A:

Q: find the derivative of y with respect to the appropriatevariable. y = (θ2 + 2θ) tanh-1 (θ + 1)

A: The given function is y=θ2+2θ tanh-1θ+1. Obtain the derivative as follows.

Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

A:

Q: 2. Approximate the derivative of f(x) forward, backward, and central difference method and step size…

A: To obtain the derivative at the point x0,y0, the following methods can be used:- The forward…

Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log2 5θ

A:

Q: 5. a) Find the first order derivative of the following function. y x° In x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

A:

Q: 2. Find derivative of given function defined as follows 2x y = e = ²

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log2 (8tln 2)

A: We first expand the equation using the addition property of log and the change of base property.

Q: 3. F(x) = " In(x) (4t + et) dt. Find the derivative of F(x).

A: Given, F(x)=∫1ln(x)(4t+et)dt To find : Derivative of F(x) By using the second fundamental theorem of…

Q: (x² +SJ° In 14-X つ. dr

A:

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

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

A:

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: Find the derivative of the function y = tanh−1√x

A: To find the derivative of the given function.

Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: 2. Determine the true error and the relative true error of the first derivative of f(x) = 2.5-* %3D…

A: Solution is below

Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

A:

Q: y=x4Inx

A: Topic = Derivative