f(x) = log, x and g(x) = b' are inverse functions. Therefore, log, b = and

Q: Find the second derivative of the function. f(x) = 205√x

A: We use the power rule to find the first derivative

Q: Find the second derivative of the function.      f(x) = (x2 + 3x)/(x − 4)

A: Given f (x)  = x2+3xx-4we have to find second derivativerule used :-Outient rule :- if there is a…

Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

A:

Q: Find the derivative of the inverse function for y=2x3−1 and calculate its value at x=2.

A:

Q: find the derivative of the log functions: y = ln(x√x2 – 6) f(x) = ln(2x/x+1)

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: By using logarithmic differentiation and with respect to independent variable x, find the derivative…

A:

Q: Use logarithmic differentiation to find the derivative of the function. y = (3x + 2)4(4x − 3)2

A:

Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 2n +4n in (2n) X

A: Follow the procedure given below.

Q: Find the derivative of the inverse function to f(x)=ex-e-x

A:

Q: Find  y''  by implicit differentiation. 4x2 + y2 = 4

A: Given,  4x2+y2=y,we have to find y''Differentiate with respect to x,we get…

Q: Find the second derivative of f(x) = (5+7x)e5". f" (x)

A: Topic :- Differentiation

Q: Find the second derivative of h(x) = x2 + 3x3. Simplify your answer, %3D

A:

Q: Compute the derivative in terms of log for y=log(xe^(-3x))

A:

Q: Use logarithmic differentiation to find the derivative of y = In(5x)'n(7x): y

A: Topic:- Derivative

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM y= e3x-e-3x/e3x+e-3x

A: Second derivative of a function.

Q: use logarithmic differentiation to find the 1st derivative f(x)= x²(2x+3) (x²+1)*

A: given function  f(x)=x22x+3(x2+1)4

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

A:

Q: Find the derivative of f(x) = log35x2+1

A:

Q: x=1), 3. Y = In (x-1), (х-2)2

A:

Q: Find the derivative of f(x) = log3 5x2 +1

A: Find the derivative of fx=log35x2+1

Q: find the derivative of ln(3x^2+e^x)

A:

Q: Find the derivative of the function. f(x) = 2x2 In 2x f (x)= 2x[1+2 log(2x)]

A: fx=2x2ln2x

Q: 17. f(x) x²(2x+3) (x² +1)*

A:

Q: Find the second derivative of the function. In(x) f(x) 6x2 f"(x) =

A:

Q: Find y" by implicit differentiation x2 5y2 5 + = 2 X у"-

A: Take d/dx on both sides and distribute it on the left side. Derivative of constant =0

Q: The third derivative of the function is y = log 2x3

A: We can find the answer as below

Q: Find y" by implicit differentiation.   x4 + y4 =a4

A: Given function is Differentiating both sides  with respect to x, we get

Q: y = log,(4x - 8x)

A:

Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

A:

Q: x(2x+3) 17. f(x) =- (x° +1)

A:

Q: Find the second derivative of y= x 2/ 3 + x2

A:

Q: Find the second derivative of f(x)=x4.

A:

Q: 2) Use logarithmic differentiation to find the derivative of: /(x) (r²+3r + 4)*+1,

A:

Q: Find the derivative of g(x) = ln(2x + 5)

A:

Q: Find the second derivative of the function. In(x) f(x) = + 6x? -4x° – 18xln(x) + 3-6 ln(x) + 12…

A:

Q: How the processes of integration and differentiation can be considered as inverses of each other

A: It is known that ∫ fx dx=gx+C, where C is some constant whenever g'x=fx.

Q: Evaluate the first derivative of the implicit function: 4x2 + 2xy + y2 = 0

A:

Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 4in (2x) + 6

A:

Q: Discuss how the processes of integration and differentiation can be considered as “inverses” of each…

A:

Q: Without finding the inverse, evaluate the derivative of the inverse at the given point. f(x) =…

A:

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

A:

Q: 2x+3) 17. f(x) =- (x² +1)*

A: topic - logarithmic differentiation

Q: Find the derivative of the inverse function for y=x3−3x and calculate its value at x=−2.

A:

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: The first derivative of f(x)=e5x^4-6x will be?

A:

Q: Find the derivatives of x log x.log(logx)

A: We have to find the derivative of-  x logx.log(logx)

Q: What is the derivative of log (x²)? ○ 2x-log(x²) 1 x² 2x O log(2x) O exp(2x)

A:

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

A: Topic = Derivative