Find the inverse function of f(x) = /2x + 2. %3D f-'(æ) = ||

Q: Find the derivative of the function. x-5 y = In x +5 %D

A: Differentiate wrt x

Q: Find the derivative of the function.

A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx

Q: Find the first derivative of each function.   f(x)=e^-2x - x ln x+ x-7

A:

Q: Find the derivative of the function.

A: Given function is: f(x) = [ln (2x)]3 We have to find the derivative of the function.

Q: Find the derivative of the function h(x) = log5 (x/x − 1)

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 F'(x) if F(x)= e^(-x^2) * x^(sin(x^3)) Use logarithmic differentiation

A: topic - logarithmic differentiation

Q: Find the derivative of the inverse function s(x) if f(x) = -x+ 1 1 r + 1

A:

Q: What is the millionth derivative of f(x) = e x ?

A: ex

Q: compute the derivative. f '(x), f (x) = log2 x

A: Given the function f (x) = log2 x

Q: Find the derivative of the function: f(x)=e^-2x - e^2x

A: To find derivative of function.

Q: Find the derivative of the function f(x)=ln(10e^13x−7).

A: Note: Since you didn't use parenthesis while writing the function, there can be two possibilities…

Q: Find the derivative of f( x ) = log3(x + 6.5). f'(x) =

A:

Q: If f(x)=3sin(x)+4x^x, find f'(2). Using logarithmic differentiation.

A:

Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

A:

Q: Find xp by implicit differentiation. S 4e*"y = 2x

A: According to the given information, it is required to find the implicit differentiation.

Q: Find the derivative of the function.

A: Given: f(x)=log2x2x-1

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

A:

Q: Find the derivative of the function. (x) = In(4 – x®) r"(x) =

A: We have to find

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

A:

Q: Find the third derivative of the function f(x) = (1) / (2x-1)

A:

Q: Find the derivative of the function

A: Given function:

Q: Find the derivative of the function f(x) = log23√(2x + 1)

A: To find derivative of fx=log22x+13

Q: Compute the derivative. f'(x), f(x) = log2 x

A:

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

A: The given function is

Q: Find the derivative of f( x ) = a° log (x + 7.5). f'(x) =

A: We have to solve

Q: Without fonding the inverse, evaluate the derivative of the inverse at the given point. f(x) = ln(5x…

A: Consider the given function:

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

A:

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

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

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

A: The solution is given as follows

Q: Find the second derivative of the function.        f(x) = x/(x − 1)

A:

Q: Find the derivative of the inverse function  f(x) = x/x+2

A:

Q: Find the second derivative of the function. 9. g(x) = x-1 10. h(x) = sinx = (x)6

A:

Q: Find the second derivative of the function y = x In 2x.

A:

Q: Find the derivative of the function y = log5 √(x2 − 1 )

A: Here given function as y=log5x2-1 or y=log x2-1log 5 The power rule for derivatives is expressed as…

Q: Find the derivative of the inverse function at x=1 for the function y=sin(x−1)+x2.

A:

Q: Find the second derivative of the function f(x) = 1/(11x − 6)

A: Consider the function  f(x)=111x−6

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

A:

Q: Find the derivative of the function. 9x + 1 h(x) = In 4х - 2. h'(x) =

A: Solution: The objective is to find the derivative of the given function

Q: Find the derivative of the function. h(x) = log,(x + 9) h'(x) = %3!

A:

Q: 8) Find the derivative of each function: 2. a)g(x) = 3x +5x

A:

Q: Find the derivative of the function

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

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

A:

Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

A:

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 exponential function f ( x ) = 5x 2 e 7x

A: Given function: f(x)=5 x2 e7x     Calculate the derivative of f(x): f(x)=5 x2 e7x   Take the…

Q: Find the derivative of the inverse function for y=x⋅3x provided x>0.

A:

Q: (a) Find the derivative of the function f(x) = ex-1

A: Note: As per company policy we are supposed to solve only one question. So, kindly repost other…