1. Known function x) = 3x A. -26 В. С. -7 5. The derivative of f (x) is f '(x) is %3D D. 3 E. 7 А. -21

Q: 1 The derivative of the function y = cos V at z e = is equal to 4.

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

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Q: Find the derivative of function. g(z) = (e2z + ln z)3

A: Given that: The function is g(z) =e2z + ln z3 .

Q: Can you help me step by step?

A: Given function is

Q: Please I want solution of question 7 with step by step. Many Thanks

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Q: 5. Second derivative of y = 1+t)< t2

A: Given: y = 1+t2t2 To find: Second derivative of the given function.

Q: Find the derivative of the function. y = e4 e -20 - 20 cos 50 O A. - 5603 e - 20 , sin 50 O B. 03 e…

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Q: 1. Compute forward approximations of O(h) and O(h² for the first derivative of y = e* evaluated at x…

A: 1st we will derive formula for O(h) and O(h2) and then find corresponding values

Q: (a) Show that the derivative solution of this function y = x** is dy = x(**+x=1) [1+ x ln x (In x +…

A: The given function y=xxx Note:    Multiple questions are given, we are answered with only one…

Q: Find the derivative of y = 3x ln (x)? A. Y = 3(1+ ln (x)) B. Y = 3 + In (x) C. y = 1+3 ln (x) D. Y =…

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Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

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

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Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

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Q: Find the derivative of y with respect to x. 2. y²(x + 2y) = e²

A: Given,

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 Calculate the second and the third derivative of y = 6x – y": y"

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Q: Compute the derivative of the function y=x2/ln x at x=e.

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Q: what is the second derivative of y(t)=e^-2t and y(t)=e^-3t

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Q: What is the derivative of (6 x+1)5 (4 x-21)16 (21 x-23)3 (3 x+25)4 y = In with respect to x?…

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Q: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

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Q: 1. Find the second derivative of the following functions with respect to x. y = 3x2 + 5x - 1   2.…

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Q: 14. Find the second derivative of tanh xy + xy =0 by implicit differentiation. A. y" =2 B. y" =2 C.…

A: Answer is option C)  y''=2y/(x^2)

Q: What is the derivative of the expression (xy)" = e 1+ In(xy) 1+ In(xy) y O Option 1 Option 2 1+…

A: Given (xy)x=eTo find Derivative:

Q: 23.3 Use centered difference approximations to estimate the first and second derivatives of y = e*…

A: The formula for the first derivative of a function fx at x=a by centered difference approximation is…

Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Take first and second derivatives of y = xr, y=(ax2 + bx + c)2, y=ecx, y=e-cx, y=ln(x).  In all…

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Q: Find the derivatives of: d/dx (ex-e-x/ex-e-x) And the derivatives of: f(x)=ln((2x+1)3/(3x-1)4)

A: the given expressions is: dex-e-xex-e-xdx the given function is: f(x)=ln2x+133x-14

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

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Q: 2. Find the derivative of the function. y = e* In (sinæ)

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Q: Find the derivative of the function y, below. y = 2x(ln x + ln 5) – 9x + v2 dy dz ||

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Q: The derivative of y= sech-1(x sechx)+e$inh (Inx) equals Select one: – x sechx tanhx+ sechx O y:…

A: Given

Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: (a) By using the chain rule and the derivative if x>0 (1, -1, if x< O' d (\xl) = dx | d find - (lx3…

A: Just break the mod function in two parts and easily calculate the derivative.

Q: Can i get help step by step?

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Q: 17) Find the derivative of y = x? COs x - 2

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Q: Q /Choose the appropriate derivative for this function y = (x+ 1)2* dy = 2* (x + 1)2" - In(x + 1) dx…

A: Explanation of the answer is as follows

Q: 14. Find the derivative of y = e cosz %3D A. y' = -ecosx sin z B. y' = elinx cos x C. y' = -etinx…

A: Given,y=ecosxdifferentiating both the sides w.r.t. xdydx=ddxecosxUsing chain…

Q: Find dy/dx by implicit differentiation. x7 + y4 = 5

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Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

Q: Can you help me with this problem step by step?

A: Given:

Q: -7/2 = 8. Calculate the derivative of y with respect to , if x/2 + y dy dx

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Q: (4)The instantaneous rate of change of f(r) = e- at a = 1 is . .. (5) The derivative of f(x) = sec2…

A: (4) We have So we get the instantaneous rate of change of the function at  as .

Q: c. Find the derivative of y =+- et x3 cOS X 2

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Q: 2 e -8; x(0) = 1 dt

A: Solution is given below:

Q: can you help me step by step with this problem?

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: c. Find second derivative implicitly for y + 2Re *y = 3R.

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

A: Authoring guidelines:…

Q: 11) Find the first derivative of y = (ln x)*

A: We have to find the first derivative of given function.

Q: Compute the second derivative of e^x+y+y^2+x^3=0. y" denotes, d^2y/dx^2

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Q: V=ln( cosn 92) %3D

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