c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

Q: Compute the derivative.    f'(3),   f(x) = log5 x

A: Given: fx=log5 x  ……1   To find: f'3

Q: find f'(x) of (((3x^2+1)e^x^2)/(2x+1)^5)^5 using logaithmic differentiation.

A: The given function is,

Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In( 2. g(x) = In(v³ +1)…

A:

Q: . Use logarithmic differentiation to find y'(0) if y = Vcos3 r V5+

A:

Q: Find the first derivative:  y=log1o 5x+3/5x-4

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: Find the derivative using logarithmic differentiation. r³(2x - 1) (5x + 1)7(x + 1) 14. y=

A:

Q: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D…

A: Solution is below

Q: Find the equation of the secant line for f(x) = log2 (3x² + 2x – 1) from x = 1 to x = 3.

A:

Q: (2² + 3) (3z – 4)* Use logarithmic differentiation to find the derivative of y =

A:

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) -1 1

A:

Q: Find Dx [(πx^4−2√x+√3) /(2x^2 - x)(3x−2)]. Not by using logarithmic differentiation.

A:

Q: 4. Use logarithmic differentiation to find the derivative of each function a) y = x?r-1 b) y = (cos…

A: A):  y=x2x-1Taking log on both sideslog(y)=(2x-1)log(x)differentiating both…

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Here given function as y=log102xory=log 2xlog 10 Differentiate with respect to x dydx=log2xlog…

Q: Find an equation of the tangent line to the graph of the function  y = log3 x, at the given point…

A: y = log3 x

Q: What is the first derivative of q(x)=(3x)7x at x=2?  Enter an exact answer in terms of a natural…

A: When there is variables in exponent we should take log both side then differentiate. Here we use…

Q: Use logarithmic differentiation to find dy/dx. (x+1)(x-8) y = (х - %3D X > 8 1)(x + 8)'

A:

Q: use logarithmic differentiation to find the derivative of y=(x^2+3)(x-1)^2(x-2)^1/3

A: Applying natural logarithm on both sides, we get

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: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

A:

Q: Find the second derivative of the function. g(x) = 9/x + e6× In(x) g"(x) = %3D

A:

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

A:

Q: Use logarithmic differentiation to find for the function dx (x3 +5) y = e2a /2x – 1 -

A: y=x3+5e2x2x-1taking log on both sidelogy=logx3+5e2x2x-1apply log…

Q: i need to find the derivative using logarithmic differentiation

A:

Q: 4) Find the derivative of each function. a. f (x) = In(x² – 4) In e c. f (x) = b. f (x) = x² ln x

A:

Q: Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0). y…

A:

Q: Use logarithmic differentiation to find the derivative of y. 20) y = (x4 + 1)³(x - 1)2x4

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: Find dx by logarithnic differentiation. (3x-2)(x"+3)

A: d(logx)/dx = 1/x

Q: 2. Use logarithmic differentiation to find dy/dx. ソミx

A: find the derivative

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y 2 1 (0, 1) -2…

A:

Q: Find the derivative of Log(z²). 2/22 1/22 1/z 2/z

A: The correct option is 4th option.i.e. 2z .

Q: Find the derivative of the function

A: given h(x)=log3xx-12we have to find the derivative of the given function

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

A:

Q: Solve for the derivative of the following Exponential Differentiation. 1. y = 92x^2 + 3x +1 2. y =…

A:

Q: Using logarithmic differentiation, Show that y (x)= xa2" e®has no stationary points other than x =…

A:

Q: 11.Find the derivative of the functions: a) f(x) = In(9x²2 – 3x) b) g(x) = In(ln x)

A:

Q: 2. Use the logarithmic differentiation to simplify completely before finding the derivative.…

A: As per our company guidelines we are supposed to answer ?️only first question. Kindly repost other…

Q: Find the first derivative of f = (h+2)² (2h+1) h²+3 V using logarithmic differentiation

A:

Q: 8 Find the derivative of f( x ) = x° log, (x + 3). f'(x) : = (x).f

A:

Q: Find the derivative of the function. 8 f(x) =x" log 6x .7 ,7 O A. X +8x log ,x .7 O B. In 6 + 8x log…

A: According to product rule of differentiation ddxuv=vddxu+uddxv and according to power rule of…

Q: Find the anti-derivative of g'(x)= log1/2(X)

A:

Q: Use logarithmic differentiation for find for y = (x-12)² dx x-8

A:

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

A: Given: y=x52+x251+3x5

Q: 4. Calculate the derivative by the logarithmic differentiation and then calculate g' at the…

A: Use log rule to evaluate

Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative