g. y = x e 2x h. y = 4sin 2x

Q: 1. Find the derivative of the following e)y ln x - x ln y = c

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Q: 29.:* Find the derivative: h(x)= | dz z+1 a. b. C. 2+2 d. 2(x+1) e. None of the above.

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Q: Find the derivative of the function. 2 a) f(x) = x² ln(x) b) g(x) = 2" + log, (x + 5) +ez c) y =…

A: We have to find the derivative.

Q: Find the derivative of the given function. 275 y= 22+4 e -3x %3D

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Q: B) Find the third derivative of the function: Y = +VX

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Q: Find the second derivative of the function y=x(x² – 1)² A) None of the given choices B) 2x(5x2 - 6)…

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

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Q: Find the derivative of the following. g(x) (e2t + VE - t) dt g'(x)

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Q: In the given question/s , find the derivative of the function.   y = ln (ln x)

A: We have the function y in terms of x  therefor we can  find the derivative of the the function y by…

Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: Find the third derivative of the given function g(t) = Square Root of 5t+3

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Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

Q: Find the derivative of the function. y = cos(a4 + x4) y'(x) =

A: The given function is y = cos(a4 + x4)

Q: Q. No. 5. Find the Derivative of the Given functions a) y = e"in: +2x b) f(x) = a+x

A: I have used the multiplication and division rule for derivative

Q: Find the second derivative of the function y=x(x² – 1) (А) 4x(5х2 - 3) в) 2x(5x2 - 6) (с) (2х -…

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Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: e3x-e-3x Y = e 3x+e-3x 4. t2 y= 72-1 5. X = t-1

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Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: Find the derivative of the function.

A: Given function is y=2ex+e-x Chain rule of differentiation states that: ddxfgx=f'gx g'x…

Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: 1 y ==+ Vx Vx

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Q: Find the SECOND derivative of the given function. (b) g(x) = x+2

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Q: Determine the derivative of the given function: ソ=c 3 y = e x2

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Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: 3. Find the derivative of the given exponential function w e2t (2 cost + sin t)

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Q: (12) Find the derivative of the function Y = cos (a³ + x³)

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Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t…

Q: Find the derivative of the function.

A: To find derivative of the function y=e2xe2x+1. Solution: Quotient rule of differentiation states…

Q: Find the derivative of y with respect to the independent variable. y = (In 20)" Select one: A. T(ln…

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Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

Q: Find the derivative of the function f (x) = /e* – In(x) 12 – 1/x) O (ex12 – 1) O (e2 – 1/x) e? -x)

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Q: f(x) = e*

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Q: Find the first derivative of y with respect to x (y') of the given function. y = ((U^2 - 1) / (U^2…

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Q: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

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Q: Find the derivative of h(x) = e³ + Vx + lnx. I

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Q: each case Find the derivative of y in Sın (x) a Y= Coslx) b) y= Sın'cx) ) y =X- Sin (x?) c) y=x• Sin…

A: To find the derivative of the following

Q: Find the derivatives of the functions y = (1 + 2x)e-2x

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Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: Find the derivative of f(t) = e+1

A: Given :

Q: h(t) = (e" +2)

A: given that h(t)=(e3t+2)5  So h'(t) = d/dt (e3t+2)5  h'(t) = 5(e3t+2)4 [d/dt (e3t+2)]  h'(t)= 15e3t…

Q: Find the natural domain and the derivative of the given function. (a) ln(4x + 2) (b) x · cos x (c)…

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Q: 25. Find the derivative of the function. y = (1+ 3x)e - 3x O A. - 9e - 3x 3x В. - 3(1 + 3х)е - 3x -…

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Q: Find the derivative of the given function e5x (2x+1)5 b. f(x) = In Vx²+1 f(x) = (x In x – x)

A: Given that: b. f(x)=lne5x(2x+1)5x2+1c. f(x)=(xlnx-x)

Q: Find the first derivative of the following implicit function: X² + 3xy + y² = 4

A: Given : x2+3xy+y2=4 Lets take first derivative  Take derivative with respect to x. apply the power…

Q: x°y- xy? +x² + y² = 0 %3D

A: Use d(UV) = VdU+ UdV

Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: Find the derivative of the given function. e5x (2x+1)5 f(x) = In Vx2+1

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Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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Q: Find the derivative of the function f(x) below. f(x)=ln(5−e^(−4x)) f′(x)=

A: Explanation: Given that, f(x)=ln(5-e-4x) Differentiate both sides with respect to x.…