B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 ) 1 Add file 2- (3 mark) * ·Y= log3(x+ 4)

Q: find y' for y = 2Vsinx sinh-1(logx). %3D

A: y'=log2· 2sinx-1.cosx.sinh-1(logx)sinx+2sinxxlog2x+1

Q: Differentiate y = /sin(x² + 3)cosx

A:

Q: (14) Use log differentiation to find the derivative of the function. Y = (sin (7x))*

A: Here, the given function is: y=(sin(7x))x Taking logarithm on both sides, we have: ln y=ln(sin(7x))x…

Q: 12. h(x) =log, [log, (1+x)]

A: Please see the answer in Step 2

Q: ex = cosy

A:

Q: Find Dxy for y = sinh-'(x5)

A:

Q: part ii, thank you very much.

A:

Q: Use logarithmic function to find dy/dx, if y=(x^2+5)^sin (2x)

A:

Q: Find dy/dt thru logarthmic differentiation (apply logarithm on both sides of the equation.

A:

Q: 3 7 - use logarithm differentiation to differentiate to find y prime (dy). y = x

A: The given function is, y = x.Take log on both sides of the function.

Q: 16. Use logarithmic differentiation to find y'. (a)= (x2 + 1)tan(=) (b) y = (sin (3z))VE

A:

Q: 1. Using Logarithmic Differentiation, find dy given that dx -3 sec-(VT) y = 4*(log2 r)sech z"

A: This is a problem related to differentiation of the function. Based on the logarithm property we…

Q: A. Differentiate and simplify the result. 1. y = V4x + 3 log2(x² + 2) 2. y = 3vx2-3x+1 3. y =…

A:

Q: a- y= (cosx) (use logarithm differential)

A: To find dy/dx

Q: 5. (i). Find the dx for the function y = (tanx)secx* using logarithmic differentiation.

A:

Q: Q1) Use implicit differentiation to find dy/dx if x cos(3x + 2y) = y sin x

A:

Q: sin 0 r (0) = log„(ršin ® – sin" 0)

A: We know that, from the derivative formulas ddxax=axloga       ⋯⋯1ddxlogx=1x…

Q: 20. Evaluate the derivative. 4 (sinh ) dx O

A: ddxsinh-1ex

Q: logtan nx(2+ 4 cos nx) 2

A:

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: Solve for x in the interval 0 < x < 2n. log (sin (x)) – log (cos (x)) = 0 a) x = 5,

A:

Q: i need to find the derivative using logarithmic differentiation

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Q: Find dx 1- y = log (Sin x )- Cot - Vx 3 2. y = log( vx) = tan(x - y) 3- x Sec -x = y? log (sec x) 4-…

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

Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

Q: Determine the derivative: y = log (3x2) (01)प य log (3) ** In(10) 6 log (Sx) r In(10) Oy= 18x In(10)…

A:

Q: y= log, sinx

A:

Q: -1/7 17 dx =?

A:

Q: Compute dy/dx, using logarithmic differentiation. Write your final answers entirely in terms of x.…

A:

Q: 2. Use Logarithmic Differentiation to find dy/dx for y = 3 x(2x+5) (x²+1)²

A: Explanation of the answer is as follows

Q: Compute the derivative.log(sin(t))

A: Given: ddtlog3sint To find: We have to find the given derivative.  Required formulas: logab=lnalnb…

Q: If f(x)-logCos4x + sinx.Then find 9 (x) JP at x= sec 2c dx 6.

A: Given function is: f(x)=logsec2x|cos4x|+|sinx| To find the value of 9df(x)dx at x=-π6

Q: What is the derivative of y = log b( cos² (ax)) ? Note that a and b are real numbers.

A: we have to find derivative

Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: Where is the function sin (log (r2 + y²)) continuous?

A: Function = Sinlogx2+ y2

Q: 3. Use Log Rule to integrate. J6x-5 dx a. 6х-5 b. S- 1 dx x Inx

A:

Q: Integrate: cos Gx) – sinh(2x)]g

A: As per our guidelines only one question can be answered.Please repost the next part in next…

Q: 3. Find the derivative of (x² + 3) (3x – 3)² Y = Vrez+1 Hint: Use logarithmic differentiation!

A:

Q: Evaluate /(e* + - + cos4x)dx O + logx + sn3x +c e2r 3 4 e3x sin4x + logx + + c 3 2 O + logx + e5x 2…

A:

Q: Find dy and simplify whenever possible. dx 1. y = arcsin + 4-x2 2. y = In(e¯* + xe¯*) sin x cos x…

A: To find derivative of given function.

Q: dy Find using implicit differentiation. 10x +1ly = xy

A: Differentiating the function wrt x and arrange them to find dy/dx. Here is its solution.

Q: differentiation

A:

Q: Q2): If sinh(x) =find tanh(4x). %3D

A:

Q: if 2 tanh x.In x = sinh' (sin x)+logcos dx dy Q5/ Find

A: To differentiate the given function.

Q: Find dz using logarithmic differentiation if y (2z). %3D

A:

Q: Find the interval in which function f(x) =sin (logex)+cos(logex) is decreasing

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Q: 5. Find using logarithmie differentiation: dy y = [sin(x)}!m(=)

A: Find using logarithmic differentiation:   y = [sin(x)]^ln(x)

Q: Suppose x6 e-5y = In (xy). Find Y by implicit differentiation. dx

A:

Q: To evaluate the integral cotx log(sinx) dx we use the substitution O a. sinx=t O b. logx=t O c.…

A:

Q: What is the derivative of y = log, sec(e²x) Dxy = 2 e² tan (²) Dxy = 2 (log, e) e²x sec(e) tan(e) D,…

A: