Q3) Find the derivative of y for all functions the following (3) y = tlog3(e(stn t)(In 3)) %3D

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

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Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: Find the derivative of y with respect to s. y= sec 1(7s° + 4)

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Q: 2 The derivative of (g(x))¯ is equal to (g '(x))¯. Select one: True False

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Q: 4. Consider the function f(x) = 2 cos x x2 find its derivative

A: (4) Consider the given function. fx=2cosxx2 The quotient rule is defined as. fxgx'=f'g-g'fg2

Q: 2) Find the first derivative: a) y = cot * (3x² +7)

A: Differentiate wrt x

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: 10) Find the second derivative of k(z) = 4 cscz.

A: Given: kz=4cosecz for finding second derivative of given function, we find first derivative then…

Q: 5) Find the second derivative of f (x) = %3D ex plify your answer as much as possible

A: fx=1-2xexTo find the second derivative

Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

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

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Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

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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 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: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: 6. Find the first order derivative with respect to z of the function u = In/x2 + y2 +z²

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Q: compute the derivative. y = z csc(9z + 1)

A: y=z csc9z+1

Q: 5. Find the first order derivative with respect to y of the function U = In/x² + y² + z²

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Q: 3. The derivative of f(x) = In x at x = 3 when h = 0.002

A: 3) To find the true error and relative error of the function: f(x)=ln x, x=3 & h=0.002

Q: What is the first derivative of s(æ) = 4e"*.

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Q: (6) Find the derivative where it exists (c) Where is flz) analytic ?

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Q: What is the derivative of y = e3 In(5 + e3)? %3D

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

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

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Q: 7. Find the nth derivative of y = 1//x.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: * find the dicredional derivative af the. f omc tion and in the direction of a= [o,3, 37 + find the…

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Q: 2. Prove from the definition of derivative that for n EZ, d ng"-1 dr

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Q: compute the derivative G(s) = (ln(s))2

A: Given expression

Q: Use Richardson extrapolation to estimate the first derivative of Y = sin x at * = π/4 using step…

A: Given the function  y=sinx

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

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Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: The derivative of xª at x = e is equal to .Soloot ono

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Q: Find the derivative. 8 + e y = In 8 + et 8 - ex.

A: Given,          y=ln8+ex8-ex

Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: f(x) = x*Inx

A: TO FIND 5th order derivative f(x) = x4 lnx FORMULA USED  BIPART PRODUCT RULE OF DIFFERENTIATION…

Q: 4. Show that the derivative of log,(Va +5) is 3(r + 5) In(2)

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Q: Use Richardson extrapolation to estimate the first derivative of y = cos x at x = π/ 4 using step…

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Q: 1 erivative of x²+2

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Q: (x² +SJ° In 14-X つ. dr

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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: Q Find the derivative us ing the de fini tion 2. O fcx) Fcx) x+2X %3D

A: Derivative of the function using definition

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

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Q: Find the derivative of f (x) =arcoth (e³" ).

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Q: Consider the function f(x) = x³ Q 2: Calculate its first derivative at point x = 3 numerically with…

A: We have given , f(x) = x3

Q: 8ubject find the derivative of y= X. Ln (esé'sx)

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Q: FIND THE DERIVATIVE Of THE GIveM. FUMCTIC 3.) f(x) = Logio( ) %3D 8.) g= arccose-* 9.): y = qsin? x…

A: To find the derivative of the function7) fx=log10xx-18) y=arccosec-x9)y=9sin2x

Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

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

A: Authoring guidelines:…