Find the inverse function. f (x) = x +6 O f-1 (x) = e – 8 O f-1 (æ) = - 8 O f-1 (x) = -x – 8 o f' (x) = - - 8

Q: (a). Find the derivative of the following function. y=4 In x-n(x-8).

A: NOTE  We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: 1. Find the first derivative of the function g(z) = 8x – 36x – 96x. - g'(x) = 2. Find the second…

A: We have to find As per guideline we have to solve 3 subparts

Q: Find the derivative of the function. 3x 9(x) = e+5.

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Q: Find the derivative of the function. e9u y = e9u + e - 36 (" +e")2(e2u – 1 +2–2u)²(6eu – 1 + 6–6«)²…

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Q: find the n-th derivative of f(x). f(x)=e^-2x

A: Given function is fx=e-2x. Chain rule of differentiation states that: ddxfgx=f'gxg'x Now, we find…

Q: 1. Find the slope of the line tangent to the function f(x) = 7 ln(x) – 6x at the point (1, -6). %3D…

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Q: 3. Find the first and second derivatives of the function f (x) = e¬²

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Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

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Q: 6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin…

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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: 2. √√√x + y + xy = 21

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Q: Find the derivative of the function. 1 + e5x e 5x 3x e

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Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: x²+x+4 What is the first derivative of r(x) = log, x°cos x

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

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Q: Find the first and second derivative of each function: a.) f(x) = (x^3 - 3)^4 b.) f(x) = (x) / (2x +…

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Q: 10) Find the derivatives of the following functions a) y = In√x²-7 -7- b) Use logarithmic…

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Q: What is the relationship between the functions In r and e?

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Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

Q: Q. / Find the derivative of y = (In(x²))'n(x²).

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Q: e Find the derivative of the function g(x) = 2+ 3x g'(x) =

A: See solution below

Q: 6. Find the derivative for each function. b. f(x) In 5x3 2)3 f(x) (e*3 2) а.

A: Use exponent rule for exponent 3 and use chain rule for (e^x^3 +2)

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: (x + 2)8(4x – 1) (6x + 6)2 Let f (x) = %3D Use logarithmic differentiation to find the derivative of…

A: SOLUTION-

Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: * (2 + x²)% Use logarithmic differentiation to find if y = y - (1 +3x)

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Q: 1. Find the natural domain and the derivative of the given function. (a) 3x² +7x + 5, (b) (3x +1)5,…

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Q: Find the derivative of the function. g(x) = 500(5 – e-0.1x)

A: Given,           g(x)=5005-e-0.1x

Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

Q: Find the derivative of the following function 1. y= -3^(2x-4) 2. y= x log10 x

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Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: 1. Find ALL THE DERIVATIVES of the function: f (x) = 2x7 – a5 + 5a³ – 8x + 4 2. Use logarithmic…

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Q: Find all the higher derivatives of the function f(x) = (4x-5)°. P (x) =] f"(x) = f"(x)=

A: Differentiate above function with respect to x

Q: - 5 2x +1 Calculate the derivative function of g(x) Write your result as a single fraction. g'(x) ||

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Q: (x3-x)² .3. 2 5. у 3 х+1

A: We’ll answer the 5th question since we answer only one question at a time. Please submit a new…

Q: Find the derivative of the function g(æ) = (5æ² – 4x)e" - g'(x) =

A: →duvdx = udvdx + vdudx→dexdx = ex

Q: Find the derivative of the function g(x)=(3x^2+2x+4)e^x

A: Given that: g(x)=(3x2+2x+4)ex

Q: Find the linearization of the function at a. 1. f(x) = x^4 + 3x^2, a = -1 2. f(x) = sin x, a =…

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Q: 5. x= y= t2-1

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Q: Find the derivative of the function. g(x) = e2a-5z+3 (6x? - 5) e2³–5x+3 O 23-5x+3 e622 -5 (2x - 5x…

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Q: s«) = -x² + 8x + 20 g(x) = -2x – 4 h(x) = 3x² + x - 10 e. Find () co). f. Find (h • g)(x). g. Find…

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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: * (2 + x²)° Use logarithmic differentiation to find if y = y - (1 + 3x)°

A: Given: y=x52+x251+3x5

Q: Find the derivative of the function. f(x) = e-4x

A: The given function is:fx=e-4x

Q: 2. f(x) = 2x – 5x%

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