Find the derivative of the function. a. y = In(x + Vr² – 1) b. f(x) = log2 (e "cos Tr) COS

Q: O Find the derivative of the function. F(x) = | cos (*) dt

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: Find the first derivative of the following functions with respect to x: a) y= Inx3 b) y = ln (÷) c)…

A: We can make it easier for you.

Q: Show that the function f(t) = sin(e*) is of exponential order as t → +oo but that its derivative is…

A: To show that the given function ft=sinet2 is of exponential order.

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: F(y) = In(1 – 5y² +y³)

A: Topic = Derivative

Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

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Q: F(2) = [*e*ax e' dt

A: We have to find derivative

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

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Q: h(x) = In|x| %D Find the derivative of the function

A: Differentiate by using quotient rule

Q: Find the derivative of f(x) = In(e +4) 1 O 3e? e+4 3e3

A: We use the chain rule

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

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Q: 17. a. s = ln(4x) Inz I b. 1 IN C. IN d. 1 4x

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Q: Find the derivative of the functions below: In(x) (a) g(x) = log,(x) g'(x) = (b). y- in(6x®)

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Q: Q3) Find the derivative of y for all functions the following (1) y = 0 (sin (In 0) + cos (In 0)),…

A: Since you have posted multiple questions, we have solved the first question for you, if any specific…

Q: Find the derivative of y with respect to the independent variable. x2 y =log 8 Sx+1 1 8x+1 O In8 x2…

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

A: Given that

Q: Q5:The derivative of: y(Y)= log,(sin (Y )cos (Y ))- log,(2*e

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Q: find the derivative of y with respect to the givenindependent variable. y = log2 r . log4r

A: Recall the properties of logarithms:

Q: Find dy/dx of the following function. Implicit differentiation x3 + y3 = 8

A: Differentiation on both sides

Q: Find the derivative of the following function. y =x° (3- In x®) dy dx II

A: Given function is y=x53-lnx5. To find the derivative of the function. Solution: Power rule of…

Q: 3. Find the derivative of the following using logarithmic differentiation: 2x a. y = (2x – 1)(x + 1)…

A: To find the derivative by using logarithmic differentiation first take  the  logarithm on  both…

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

A: The given equation,

Q: Find the 25th derivative of g (0) = cos(40 + a) where a is a real valued constant.

A: The given function is: g(θ)=cos(4θ+α)

Q: find the derivative of y with respect to the givenindependent variable. y = t log3 1(e(sin t)(ln…

A:

Q: find the derivative of y with respect to the givenindependent variable. y = 3 log8 (log2 t)

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Q: A. Compute for the derivatives of the following functions using logarithmic differentiation. 2. r(8)…

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Q: Find the derivative of the function.

A: First, we expand using properties of log

Q: Find the derivative of y with respect to x. y=log(base)5 e^7x

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Q: 6. y = In (e* + e") 7. y = tan e + etanax 8. y = In(x + Vř +1) 9 y = Arctan(;

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Q: find the derivative of y=1/b²[a+bx-aln(a+bx) where a and b are constants

A: Derivative of function

Q: Find the derivative of y with respect to t.  y=cos^-1 (square root 7) t

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Q: (b) Find the derivative of y = log,(5x')+log, (sin.x)

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Q: Compute for the derivatives of the following functions using logarithmic differentiation. 1. r(0) =…

A: Given rθ=cscθπθ

Q: Find the 127th derivative of (1 t a*) 16 at r 0.

A: we need to find 127 derivative of given f(x) so we need to apply product rule

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

A:

Q: Calculate the derivative of the following function. y=6 log 3 (x - 9) d 6 log 3 (x - 9) =D dx

A: d/dx [ f(x) ] = 1/ f(x) * d/dx[f(x)]

Q: Find the second-order derivative of the following function: f(x) = log2 cos x + ln π

A: We have to solve

Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

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

A: To compute the derivative of the function.

Q: Evaluate the derivative of e22.1.png acos(b/x) COS f(x) = x2 if a = 71 and b = 0.5 at x = 2 using…

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Q: find the derivative of y with respect to the givenindependent variable. y = log3 r.log9r

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

A: The given expression is,

Q: Find the derivative of the following function. y= In (In (4x)) dy dx

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Q: Find the derivative of the following function. y= In (x +8)* dy dx (Type an exact answer, using x as…

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Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: 24. Find the first order derivative with respect to x of the function u = log(x+ x .

A: The solution for the above question is as shown below.

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

A: Consider the given function:

Q: Find the function with derivative f'(x) = e7¤ that passes through the point P = (0, 6/7).

A: Given that f'(x) = e7x and we find function that passes through point (0,6/7). We know that f'(x) is…

Q: e2x %3D e2a + 1

A: